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Finding the Fourth Proportional to 292,264.16, 438,132.96 and 105,144

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Solution

The fourth proportional to 292,264.16, 438,132.96 and 105,144 is: 157,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,264.16 : 438,132.96 = 105,144 : x
  2. Step 2: Convert to fraction form
    292,264.16/438,132.96 = 105,144/x
  3. Step 3: Cross multiply
    292,264.16x = 438,132.96 × 105,144
  4. Step 4: Simplify right side
    292,264.16x = 46,067,051,946.24
  5. Step 5: Solve for x
    x = 46,067,051,946.24/292,264.16
  6. Step 6: Final answer
    x = 157,621.28

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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.