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Finding the Fourth Proportional to 232,071.70, 348,131.85 and 98,966.02

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Solution

The fourth proportional to 232,071.70, 348,131.85 and 98,966.02 is: 148,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,071.70 : 348,131.85 = 98,966.02 : x
  2. Step 2: Convert to fraction form
    232,071.70/348,131.85 = 98,966.02/x
  3. Step 3: Cross multiply
    232,071.70x = 348,131.85 × 98,966.02
  4. Step 4: Simplify right side
    232,071.70x = 34,453,223,629.74
  5. Step 5: Solve for x
    x = 34,453,223,629.74/232,071.70
  6. Step 6: Final answer
    x = 148,459.39

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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.