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Finding the Fourth Proportional to 232,642.34, 348,965.28 and 127,403.90

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Solution

The fourth proportional to 232,642.34, 348,965.28 and 127,403.90 is: 191,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,642.34 : 348,965.28 = 127,403.90 : x
  2. Step 2: Convert to fraction form
    232,642.34/348,965.28 = 127,403.90/x
  3. Step 3: Cross multiply
    232,642.34x = 348,965.28 × 127,403.90
  4. Step 4: Simplify right side
    232,642.34x = 44,459,537,636.59
  5. Step 5: Solve for x
    x = 44,459,537,636.59/232,642.34
  6. Step 6: Final answer
    x = 191,106.82

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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.