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Finding the Fourth Proportional to 232,779.32, 349,322.10 and 127,672.10

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Solution

The fourth proportional to 232,779.32, 349,322.10 and 127,672.10 is: 191,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,779.32 : 349,322.10 = 127,672.10 : x
  2. Step 2: Convert to fraction form
    232,779.32/349,322.10 = 127,672.10/x
  3. Step 3: Cross multiply
    232,779.32x = 349,322.10 × 127,672.10
  4. Step 4: Simplify right side
    232,779.32x = 44,598,686,083.41
  5. Step 5: Solve for x
    x = 44,598,686,083.41/232,779.32
  6. Step 6: Final answer
    x = 191,592.13

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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.