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Finding the Fourth Proportional to 160,038, 220,852.44 and 89,382

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Solution

The fourth proportional to 160,038, 220,852.44 and 89,382 is: 123,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,038 : 220,852.44 = 89,382 : x
  2. Step 2: Convert to fraction form
    160,038/220,852.44 = 89,382/x
  3. Step 3: Cross multiply
    160,038x = 220,852.44 × 89,382
  4. Step 4: Simplify right side
    160,038x = 19,740,232,792.08
  5. Step 5: Solve for x
    x = 19,740,232,792.08/160,038
  6. Step 6: Final answer
    x = 123,347.16

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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.