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Finding the Fourth Proportional to 115,420.16, 158,924.52 and 98,386.22

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Solution

The fourth proportional to 115,420.16, 158,924.52 and 98,386.22 is: 135,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,420.16 : 158,924.52 = 98,386.22 : x
  2. Step 2: Convert to fraction form
    115,420.16/158,924.52 = 98,386.22/x
  3. Step 3: Cross multiply
    115,420.16x = 158,924.52 × 98,386.22
  4. Step 4: Simplify right side
    115,420.16x = 15,635,982,788.11
  5. Step 5: Solve for x
    x = 15,635,982,788.11/115,420.16
  6. Step 6: Final answer
    x = 135,470.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.