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Finding the Fourth Proportional to 185,838.87, 256,435.88 and 109,341.15

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Solution

The fourth proportional to 185,838.87, 256,435.88 and 109,341.15 is: 150,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,838.87 : 256,435.88 = 109,341.15 : x
  2. Step 2: Convert to fraction form
    185,838.87/256,435.88 = 109,341.15/x
  3. Step 3: Cross multiply
    185,838.87x = 256,435.88 × 109,341.15
  4. Step 4: Simplify right side
    185,838.87x = 28,038,993,473.76
  5. Step 5: Solve for x
    x = 28,038,993,473.76/185,838.87
  6. Step 6: Final answer
    x = 150,877.98

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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.