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Finding the Fourth Proportional to 109,396, 150,966.56 and 59,095

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Solution

The fourth proportional to 109,396, 150,966.56 and 59,095 is: 81,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,396 : 150,966.56 = 59,095 : x
  2. Step 2: Convert to fraction form
    109,396/150,966.56 = 59,095/x
  3. Step 3: Cross multiply
    109,396x = 150,966.56 × 59,095
  4. Step 4: Simplify right side
    109,396x = 8,921,368,863.20
  5. Step 5: Solve for x
    x = 8,921,368,863.20/109,396
  6. Step 6: Final answer
    x = 81,551.14

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Why These Related Problems?

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