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Finding the Fourth Proportional to 152,693.61, 210,717.72 and 84,711.93

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Solution

The fourth proportional to 152,693.61, 210,717.72 and 84,711.93 is: 116,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,693.61 : 210,717.72 = 84,711.93 : x
  2. Step 2: Convert to fraction form
    152,693.61/210,717.72 = 84,711.93/x
  3. Step 3: Cross multiply
    152,693.61x = 210,717.72 × 84,711.93
  4. Step 4: Simplify right side
    152,693.61x = 17,850,304,746.40
  5. Step 5: Solve for x
    x = 17,850,304,746.40/152,693.61
  6. Step 6: Final answer
    x = 116,902.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.