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Finding the Fourth Proportional to 127,409.65, 191,137.54 and 52,488.16

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Solution

The fourth proportional to 127,409.65, 191,137.54 and 52,488.16 is: 78,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,409.65 : 191,137.54 = 52,488.16 : x
  2. Step 2: Convert to fraction form
    127,409.65/191,137.54 = 52,488.16/x
  3. Step 3: Cross multiply
    127,409.65x = 191,137.54 × 52,488.16
  4. Step 4: Simplify right side
    127,409.65x = 10,032,457,781.53
  5. Step 5: Solve for x
    x = 10,032,457,781.53/127,409.65
  6. Step 6: Final answer
    x = 78,741.74

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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.