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Finding the Fourth Proportional to 147,686.50, 221,543.46 and 114,443.76

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Solution

The fourth proportional to 147,686.50, 221,543.46 and 114,443.76 is: 171,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,686.50 : 221,543.46 = 114,443.76 : x
  2. Step 2: Convert to fraction form
    147,686.50/221,543.46 = 114,443.76/x
  3. Step 3: Cross multiply
    147,686.50x = 221,543.46 × 114,443.76
  4. Step 4: Simplify right side
    147,686.50x = 25,354,266,565.81
  5. Step 5: Solve for x
    x = 25,354,266,565.81/147,686.50
  6. Step 6: Final answer
    x = 171,676.26

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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.