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Finding the Fourth Proportional to 243,292.32, 364,934.16 and 77,076

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Solution

The fourth proportional to 243,292.32, 364,934.16 and 77,076 is: 115,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,292.32 : 364,934.16 = 77,076 : x
  2. Step 2: Convert to fraction form
    243,292.32/364,934.16 = 77,076/x
  3. Step 3: Cross multiply
    243,292.32x = 364,934.16 × 77,076
  4. Step 4: Simplify right side
    243,292.32x = 28,127,665,316.16
  5. Step 5: Solve for x
    x = 28,127,665,316.16/243,292.32
  6. Step 6: Final answer
    x = 115,612.63

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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.