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Finding the Fourth Proportional to 152,462.80, 210,398.76 and 83,551.96

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Solution

The fourth proportional to 152,462.80, 210,398.76 and 83,551.96 is: 115,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,462.80 : 210,398.76 = 83,551.96 : x
  2. Step 2: Convert to fraction form
    152,462.80/210,398.76 = 83,551.96/x
  3. Step 3: Cross multiply
    152,462.80x = 210,398.76 × 83,551.96
  4. Step 4: Simplify right side
    152,462.80x = 17,579,228,779.57
  5. Step 5: Solve for x
    x = 17,579,228,779.57/152,462.80
  6. Step 6: Final answer
    x = 115,301.76

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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.