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Finding the Fourth Proportional to 150,666, 207,925.56 and 83,598

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Solution

The fourth proportional to 150,666, 207,925.56 and 83,598 is: 115,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,666 : 207,925.56 = 83,598 : x
  2. Step 2: Convert to fraction form
    150,666/207,925.56 = 83,598/x
  3. Step 3: Cross multiply
    150,666x = 207,925.56 × 83,598
  4. Step 4: Simplify right side
    150,666x = 17,382,160,964.88
  5. Step 5: Solve for x
    x = 17,382,160,964.88/150,666
  6. Step 6: Final answer
    x = 115,368.84

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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.