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Finding the Fourth Proportional to 152,271.54, 210,132.17 and 84,287.05

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Solution

The fourth proportional to 152,271.54, 210,132.17 and 84,287.05 is: 116,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,271.54 : 210,132.17 = 84,287.05 : x
  2. Step 2: Convert to fraction form
    152,271.54/210,132.17 = 84,287.05/x
  3. Step 3: Cross multiply
    152,271.54x = 210,132.17 × 84,287.05
  4. Step 4: Simplify right side
    152,271.54x = 17,711,421,153.82
  5. Step 5: Solve for x
    x = 17,711,421,153.82/152,271.54
  6. Step 6: Final answer
    x = 116,314.72

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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.