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Finding the Fourth Proportional to 151,529.08, 209,068.14 and 86,998

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Solution

The fourth proportional to 151,529.08, 209,068.14 and 86,998 is: 120,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,529.08 : 209,068.14 = 86,998 : x
  2. Step 2: Convert to fraction form
    151,529.08/209,068.14 = 86,998/x
  3. Step 3: Cross multiply
    151,529.08x = 209,068.14 × 86,998
  4. Step 4: Simplify right side
    151,529.08x = 18,188,510,043.72
  5. Step 5: Solve for x
    x = 18,188,510,043.72/151,529.08
  6. Step 6: Final answer
    x = 120,033.13

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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.