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Finding the Fourth Proportional to 153,287.96, 229,966.56 and 46,681.48

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Solution

The fourth proportional to 153,287.96, 229,966.56 and 46,681.48 is: 70,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,287.96 : 229,966.56 = 46,681.48 : x
  2. Step 2: Convert to fraction form
    153,287.96/229,966.56 = 46,681.48/x
  3. Step 3: Cross multiply
    153,287.96x = 229,966.56 × 46,681.48
  4. Step 4: Simplify right side
    153,287.96x = 10,735,179,371.31
  5. Step 5: Solve for x
    x = 10,735,179,371.31/153,287.96
  6. Step 6: Final answer
    x = 70,032.76

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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.