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Finding the Fourth Proportional to 102,464, 141,400.32 and 55,360

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Solution

The fourth proportional to 102,464, 141,400.32 and 55,360 is: 76,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,464 : 141,400.32 = 55,360 : x
  2. Step 2: Convert to fraction form
    102,464/141,400.32 = 55,360/x
  3. Step 3: Cross multiply
    102,464x = 141,400.32 × 55,360
  4. Step 4: Simplify right side
    102,464x = 7,827,921,715.20
  5. Step 5: Solve for x
    x = 7,827,921,715.20/102,464
  6. Step 6: Final answer
    x = 76,396.80

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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.