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Finding the Fourth Proportional to 102,117.36, 153,279.72 and 64,585.20

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Solution

The fourth proportional to 102,117.36, 153,279.72 and 64,585.20 is: 96,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,117.36 : 153,279.72 = 64,585.20 : x
  2. Step 2: Convert to fraction form
    102,117.36/153,279.72 = 64,585.20/x
  3. Step 3: Cross multiply
    102,117.36x = 153,279.72 × 64,585.20
  4. Step 4: Simplify right side
    102,117.36x = 9,899,601,372.14
  5. Step 5: Solve for x
    x = 9,899,601,372.14/102,117.36
  6. Step 6: Final answer
    x = 96,943.37

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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.