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Finding the Fourth Proportional to 186,156, 256,875.84 and 105,557.76

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Solution

The fourth proportional to 186,156, 256,875.84 and 105,557.76 is: 145,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,156 : 256,875.84 = 105,557.76 : x
  2. Step 2: Convert to fraction form
    186,156/256,875.84 = 105,557.76/x
  3. Step 3: Cross multiply
    186,156x = 256,875.84 × 105,557.76
  4. Step 4: Simplify right side
    186,156x = 27,115,238,268.52
  5. Step 5: Solve for x
    x = 27,115,238,268.52/186,156
  6. Step 6: Final answer
    x = 145,658.69

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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.