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Finding the Fourth Proportional to 119,068.84, 178,502.82 and 98,009.92

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Solution

The fourth proportional to 119,068.84, 178,502.82 and 98,009.92 is: 146,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,068.84 : 178,502.82 = 98,009.92 : x
  2. Step 2: Convert to fraction form
    119,068.84/178,502.82 = 98,009.92/x
  3. Step 3: Cross multiply
    119,068.84x = 178,502.82 × 98,009.92
  4. Step 4: Simplify right side
    119,068.84x = 17,495,047,107.97
  5. Step 5: Solve for x
    x = 17,495,047,107.97/119,068.84
  6. Step 6: Final answer
    x = 146,932.20

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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.