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Finding the Fourth Proportional to 233,209.38, 349,779.21 and 64,711.96

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Solution

The fourth proportional to 233,209.38, 349,779.21 and 64,711.96 is: 97,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,209.38 : 349,779.21 = 64,711.96 : x
  2. Step 2: Convert to fraction form
    233,209.38/349,779.21 = 64,711.96/x
  3. Step 3: Cross multiply
    233,209.38x = 349,779.21 × 64,711.96
  4. Step 4: Simplify right side
    233,209.38x = 22,634,899,460.75
  5. Step 5: Solve for x
    x = 22,634,899,460.75/233,209.38
  6. Step 6: Final answer
    x = 97,058.27

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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.