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Finding the Fourth Proportional to 616,102.40, 924,182.40 and 195,411.20

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Solution

The fourth proportional to 616,102.40, 924,182.40 and 195,411.20 is: 293,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,102.40 : 924,182.40 = 195,411.20 : x
  2. Step 2: Convert to fraction form
    616,102.40/924,182.40 = 195,411.20/x
  3. Step 3: Cross multiply
    616,102.40x = 924,182.40 × 195,411.20
  4. Step 4: Simplify right side
    616,102.40x = 180,595,591,802.88
  5. Step 5: Solve for x
    x = 180,595,591,802.88/616,102.40
  6. Step 6: Final answer
    x = 293,125.93

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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.