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Finding the Fourth Proportional to 235,024.32, 352,404 and 77,210.40

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Solution

The fourth proportional to 235,024.32, 352,404 and 77,210.40 is: 115,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,024.32 : 352,404 = 77,210.40 : x
  2. Step 2: Convert to fraction form
    235,024.32/352,404 = 77,210.40/x
  3. Step 3: Cross multiply
    235,024.32x = 352,404 × 77,210.40
  4. Step 4: Simplify right side
    235,024.32x = 27,209,253,801.60
  5. Step 5: Solve for x
    x = 27,209,253,801.60/235,024.32
  6. Step 6: Final answer
    x = 115,772.08

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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.