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Finding the Fourth Proportional to 102,476, 141,416.88 and 55,372

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Solution

The fourth proportional to 102,476, 141,416.88 and 55,372 is: 76,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,476 : 141,416.88 = 55,372 : x
  2. Step 2: Convert to fraction form
    102,476/141,416.88 = 55,372/x
  3. Step 3: Cross multiply
    102,476x = 141,416.88 × 55,372
  4. Step 4: Simplify right side
    102,476x = 7,830,535,479.36
  5. Step 5: Solve for x
    x = 7,830,535,479.36/102,476
  6. Step 6: Final answer
    x = 76,413.36

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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.