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Finding the Fourth Proportional to 130,617.32, 180,254.04 and 74,027.48

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Solution

The fourth proportional to 130,617.32, 180,254.04 and 74,027.48 is: 102,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,617.32 : 180,254.04 = 74,027.48 : x
  2. Step 2: Convert to fraction form
    130,617.32/180,254.04 = 74,027.48/x
  3. Step 3: Cross multiply
    130,617.32x = 180,254.04 × 74,027.48
  4. Step 4: Simplify right side
    130,617.32x = 13,343,752,341.02
  5. Step 5: Solve for x
    x = 13,343,752,341.02/130,617.32
  6. Step 6: Final answer
    x = 102,159.13

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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.