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Finding the Fourth Proportional to 153,823.20, 214,827.60 and 153,823.20

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Solution

The fourth proportional to 153,823.20, 214,827.60 and 153,823.20 is: 214,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,823.20 : 214,827.60 = 153,823.20 : x
  2. Step 2: Convert to fraction form
    153,823.20/214,827.60 = 153,823.20/x
  3. Step 3: Cross multiply
    153,823.20x = 214,827.60 × 153,823.20
  4. Step 4: Simplify right side
    153,823.20x = 33,045,468,880.32
  5. Step 5: Solve for x
    x = 33,045,468,880.32/153,823.20
  6. Step 6: Final answer
    x = 214,827.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.