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Finding the Fourth Proportional to 138,552.40, 207,828.60 and 99,024.40

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Solution

The fourth proportional to 138,552.40, 207,828.60 and 99,024.40 is: 148,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,552.40 : 207,828.60 = 99,024.40 : x
  2. Step 2: Convert to fraction form
    138,552.40/207,828.60 = 99,024.40/x
  3. Step 3: Cross multiply
    138,552.40x = 207,828.60 × 99,024.40
  4. Step 4: Simplify right side
    138,552.40x = 20,580,102,417.84
  5. Step 5: Solve for x
    x = 20,580,102,417.84/138,552.40
  6. Step 6: Final answer
    x = 148,536.60

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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.