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Finding the Fourth Proportional to 240,154.66, 360,294.23 and 127,742.32

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Solution

The fourth proportional to 240,154.66, 360,294.23 and 127,742.32 is: 191,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,154.66 : 360,294.23 = 127,742.32 : x
  2. Step 2: Convert to fraction form
    240,154.66/360,294.23 = 127,742.32/x
  3. Step 3: Cross multiply
    240,154.66x = 360,294.23 × 127,742.32
  4. Step 4: Simplify right side
    240,154.66x = 46,024,820,822.81
  5. Step 5: Solve for x
    x = 46,024,820,822.81/240,154.66
  6. Step 6: Final answer
    x = 191,646.59

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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.