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Finding the Fourth Proportional to 243,122.46, 364,696.65 and 76,897.50

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Solution

The fourth proportional to 243,122.46, 364,696.65 and 76,897.50 is: 115,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,122.46 : 364,696.65 = 76,897.50 : x
  2. Step 2: Convert to fraction form
    243,122.46/364,696.65 = 76,897.50/x
  3. Step 3: Cross multiply
    243,122.46x = 364,696.65 × 76,897.50
  4. Step 4: Simplify right side
    243,122.46x = 28,044,260,643.38
  5. Step 5: Solve for x
    x = 28,044,260,643.38/243,122.46
  6. Step 6: Final answer
    x = 115,350.35

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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.