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Finding the Fourth Proportional to 169,032, 233,264.16 and 93,585.36

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Solution

The fourth proportional to 169,032, 233,264.16 and 93,585.36 is: 129,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,032 : 233,264.16 = 93,585.36 : x
  2. Step 2: Convert to fraction form
    169,032/233,264.16 = 93,585.36/x
  3. Step 3: Cross multiply
    169,032x = 233,264.16 × 93,585.36
  4. Step 4: Simplify right side
    169,032x = 21,830,110,388.70
  5. Step 5: Solve for x
    x = 21,830,110,388.70/169,032
  6. Step 6: Final answer
    x = 129,147.80

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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.