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Finding the Fourth Proportional to 141,010, 194,593.80 and 77,347.95

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Solution

The fourth proportional to 141,010, 194,593.80 and 77,347.95 is: 106,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,010 : 194,593.80 = 77,347.95 : x
  2. Step 2: Convert to fraction form
    141,010/194,593.80 = 77,347.95/x
  3. Step 3: Cross multiply
    141,010x = 194,593.80 × 77,347.95
  4. Step 4: Simplify right side
    141,010x = 15,051,431,512.71
  5. Step 5: Solve for x
    x = 15,051,431,512.71/141,010
  6. Step 6: Final answer
    x = 106,740.17

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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.