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Finding the Fourth Proportional to 152,048.46, 209,818.42 and 84,061.47

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Solution

The fourth proportional to 152,048.46, 209,818.42 and 84,061.47 is: 116,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,048.46 : 209,818.42 = 84,061.47 : x
  2. Step 2: Convert to fraction form
    152,048.46/209,818.42 = 84,061.47/x
  3. Step 3: Cross multiply
    152,048.46x = 209,818.42 × 84,061.47
  4. Step 4: Simplify right side
    152,048.46x = 17,637,644,214.71
  5. Step 5: Solve for x
    x = 17,637,644,214.71/152,048.46
  6. Step 6: Final answer
    x = 116,000.15

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