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Finding the Fourth Proportional to 153,492.28, 211,816.16 and 85,509.16

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Solution

The fourth proportional to 153,492.28, 211,816.16 and 85,509.16 is: 118,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,492.28 : 211,816.16 = 85,509.16 : x
  2. Step 2: Convert to fraction form
    153,492.28/211,816.16 = 85,509.16/x
  3. Step 3: Cross multiply
    153,492.28x = 211,816.16 × 85,509.16
  4. Step 4: Simplify right side
    153,492.28x = 18,112,221,488.48
  5. Step 5: Solve for x
    x = 18,112,221,488.48/153,492.28
  6. Step 6: Final answer
    x = 118,000.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.