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Finding the Fourth Proportional to 153,901.26, 230,796.63 and 65,161.08

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Solution

The fourth proportional to 153,901.26, 230,796.63 and 65,161.08 is: 97,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,901.26 : 230,796.63 = 65,161.08 : x
  2. Step 2: Convert to fraction form
    153,901.26/230,796.63 = 65,161.08/x
  3. Step 3: Cross multiply
    153,901.26x = 230,796.63 × 65,161.08
  4. Step 4: Simplify right side
    153,901.26x = 15,038,957,671.16
  5. Step 5: Solve for x
    x = 15,038,957,671.16/153,901.26
  6. Step 6: Final answer
    x = 97,718.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.