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Finding the Fourth Proportional to 230,470, 345,740.62 and 78,631.53

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Solution

The fourth proportional to 230,470, 345,740.62 and 78,631.53 is: 117,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,470 : 345,740.62 = 78,631.53 : x
  2. Step 2: Convert to fraction form
    230,470/345,740.62 = 78,631.53/x
  3. Step 3: Cross multiply
    230,470x = 345,740.62 × 78,631.53
  4. Step 4: Simplify right side
    230,470x = 27,186,113,737.17
  5. Step 5: Solve for x
    x = 27,186,113,737.17/230,470
  6. Step 6: Final answer
    x = 117,959.45

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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.