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Finding the Fourth Proportional to 160,762.51, 221,863.42 and 89,149.20

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Solution

The fourth proportional to 160,762.51, 221,863.42 and 89,149.20 is: 123,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,762.51 : 221,863.42 = 89,149.20 : x
  2. Step 2: Convert to fraction form
    160,762.51/221,863.42 = 89,149.20/x
  3. Step 3: Cross multiply
    160,762.51x = 221,863.42 × 89,149.20
  4. Step 4: Simplify right side
    160,762.51x = 19,778,945,292.95
  5. Step 5: Solve for x
    x = 19,778,945,292.95/160,762.51
  6. Step 6: Final answer
    x = 123,032.08

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1.5x scale

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.