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Finding the Fourth Proportional to 161,271.80, 241,878.90 and 102,001.40

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Solution

The fourth proportional to 161,271.80, 241,878.90 and 102,001.40 is: 152,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,271.80 : 241,878.90 = 102,001.40 : x
  2. Step 2: Convert to fraction form
    161,271.80/241,878.90 = 102,001.40/x
  3. Step 3: Cross multiply
    161,271.80x = 241,878.90 × 102,001.40
  4. Step 4: Simplify right side
    161,271.80x = 24,671,986,430.46
  5. Step 5: Solve for x
    x = 24,671,986,430.46/161,271.80
  6. Step 6: Final answer
    x = 152,983.88

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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.