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Finding the Fourth Proportional to 602,068.26, 903,098.29 and 146,654.07

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Solution

The fourth proportional to 602,068.26, 903,098.29 and 146,654.07 is: 219,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,068.26 : 903,098.29 = 146,654.07 : x
  2. Step 2: Convert to fraction form
    602,068.26/903,098.29 = 146,654.07/x
  3. Step 3: Cross multiply
    602,068.26x = 903,098.29 × 146,654.07
  4. Step 4: Simplify right side
    602,068.26x = 132,443,039,838.54
  5. Step 5: Solve for x
    x = 132,443,039,838.54/602,068.26
  6. Step 6: Final answer
    x = 219,980.11

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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.