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Finding the Fourth Proportional to 113,113.40, 169,718.70 and 57,709.40

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Solution

The fourth proportional to 113,113.40, 169,718.70 and 57,709.40 is: 86,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,113.40 : 169,718.70 = 57,709.40 : x
  2. Step 2: Convert to fraction form
    113,113.40/169,718.70 = 57,709.40/x
  3. Step 3: Cross multiply
    113,113.40x = 169,718.70 × 57,709.40
  4. Step 4: Simplify right side
    113,113.40x = 9,794,364,345.78
  5. Step 5: Solve for x
    x = 9,794,364,345.78/113,113.40
  6. Step 6: Final answer
    x = 86,588.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.