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Finding the Fourth Proportional to 152,071.32, 209,840.10 and 84,079.12

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Solution

The fourth proportional to 152,071.32, 209,840.10 and 84,079.12 is: 116,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,071.32 : 209,840.10 = 84,079.12 : x
  2. Step 2: Convert to fraction form
    152,071.32/209,840.10 = 84,079.12/x
  3. Step 3: Cross multiply
    152,071.32x = 209,840.10 × 84,079.12
  4. Step 4: Simplify right side
    152,071.32x = 17,643,170,948.71
  5. Step 5: Solve for x
    x = 17,643,170,948.71/152,071.32
  6. Step 6: Final answer
    x = 116,019.06

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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.