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Finding the Fourth Proportional to 208,779.24, 313,168.86 and 146,726.76

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Solution

The fourth proportional to 208,779.24, 313,168.86 and 146,726.76 is: 220,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,779.24 : 313,168.86 = 146,726.76 : x
  2. Step 2: Convert to fraction form
    208,779.24/313,168.86 = 146,726.76/x
  3. Step 3: Cross multiply
    208,779.24x = 313,168.86 × 146,726.76
  4. Step 4: Simplify right side
    208,779.24x = 45,950,252,160.69
  5. Step 5: Solve for x
    x = 45,950,252,160.69/208,779.24
  6. Step 6: Final answer
    x = 220,090.14

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1.5x scale

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.