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Finding the Fourth Proportional to 292,276.16, 438,150.96 and 105,156

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Solution

The fourth proportional to 292,276.16, 438,150.96 and 105,156 is: 157,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,276.16 : 438,150.96 = 105,156 : x
  2. Step 2: Convert to fraction form
    292,276.16/438,150.96 = 105,156/x
  3. Step 3: Cross multiply
    292,276.16x = 438,150.96 × 105,156
  4. Step 4: Simplify right side
    292,276.16x = 46,074,202,349.76
  5. Step 5: Solve for x
    x = 46,074,202,349.76/292,276.16
  6. Step 6: Final answer
    x = 157,639.28

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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.