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Finding the Fourth Proportional to 146,402.40, 219,117.60 and 106,307.40

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Solution

The fourth proportional to 146,402.40, 219,117.60 and 106,307.40 is: 159,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,402.40 : 219,117.60 = 106,307.40 : x
  2. Step 2: Convert to fraction form
    146,402.40/219,117.60 = 106,307.40/x
  3. Step 3: Cross multiply
    146,402.40x = 219,117.60 × 106,307.40
  4. Step 4: Simplify right side
    146,402.40x = 23,293,822,350.24
  5. Step 5: Solve for x
    x = 23,293,822,350.24/146,402.40
  6. Step 6: Final answer
    x = 159,108.20

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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.