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Finding the Fourth Proportional to 292,272.16, 438,144.96 and 105,152

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Solution

The fourth proportional to 292,272.16, 438,144.96 and 105,152 is: 157,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,272.16 : 438,144.96 = 105,152 : x
  2. Step 2: Convert to fraction form
    292,272.16/438,144.96 = 105,152/x
  3. Step 3: Cross multiply
    292,272.16x = 438,144.96 × 105,152
  4. Step 4: Simplify right side
    292,272.16x = 46,071,818,833.92
  5. Step 5: Solve for x
    x = 46,071,818,833.92/292,272.16
  6. Step 6: Final answer
    x = 157,633.28

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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.