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Finding the Fourth Proportional to 153,488.64, 230,232.96 and 144,825.60

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Solution

The fourth proportional to 153,488.64, 230,232.96 and 144,825.60 is: 217,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,488.64 : 230,232.96 = 144,825.60 : x
  2. Step 2: Convert to fraction form
    153,488.64/230,232.96 = 144,825.60/x
  3. Step 3: Cross multiply
    153,488.64x = 230,232.96 × 144,825.60
  4. Step 4: Simplify right side
    153,488.64x = 33,343,626,571.78
  5. Step 5: Solve for x
    x = 33,343,626,571.78/153,488.64
  6. Step 6: Final answer
    x = 217,238.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.