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Finding the Fourth Proportional to 98,117.84, 147,832.34 and 88,769.72

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Solution

The fourth proportional to 98,117.84, 147,832.34 and 88,769.72 is: 133,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,117.84 : 147,832.34 = 88,769.72 : x
  2. Step 2: Convert to fraction form
    98,117.84/147,832.34 = 88,769.72/x
  3. Step 3: Cross multiply
    98,117.84x = 147,832.34 × 88,769.72
  4. Step 4: Simplify right side
    98,117.84x = 13,123,035,428.74
  5. Step 5: Solve for x
    x = 13,123,035,428.74/98,117.84
  6. Step 6: Final answer
    x = 133,747.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.