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Finding the Fourth Proportional to 281,641.92, 388,681.41 and 160,822.02

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Solution

The fourth proportional to 281,641.92, 388,681.41 and 160,822.02 is: 221,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,641.92 : 388,681.41 = 160,822.02 : x
  2. Step 2: Convert to fraction form
    281,641.92/388,681.41 = 160,822.02/x
  3. Step 3: Cross multiply
    281,641.92x = 388,681.41 × 160,822.02
  4. Step 4: Simplify right side
    281,641.92x = 62,508,528,638.18
  5. Step 5: Solve for x
    x = 62,508,528,638.18/281,641.92
  6. Step 6: Final answer
    x = 221,943.27

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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.