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Finding the Fourth Proportional to 98,781.40, 147,953.40 and 81,285.40

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Solution

The fourth proportional to 98,781.40, 147,953.40 and 81,285.40 is: 121,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,781.40 : 147,953.40 = 81,285.40 : x
  2. Step 2: Convert to fraction form
    98,781.40/147,953.40 = 81,285.40/x
  3. Step 3: Cross multiply
    98,781.40x = 147,953.40 × 81,285.40
  4. Step 4: Simplify right side
    98,781.40x = 12,026,451,300.36
  5. Step 5: Solve for x
    x = 12,026,451,300.36/98,781.40
  6. Step 6: Final answer
    x = 121,748.14

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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.