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Finding the Fourth Proportional to 238,448.60, 357,347.28 and 120,199.94

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Solution

The fourth proportional to 238,448.60, 357,347.28 and 120,199.94 is: 180,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,448.60 : 357,347.28 = 120,199.94 : x
  2. Step 2: Convert to fraction form
    238,448.60/357,347.28 = 120,199.94/x
  3. Step 3: Cross multiply
    238,448.60x = 357,347.28 × 120,199.94
  4. Step 4: Simplify right side
    238,448.60x = 42,953,121,615.16
  5. Step 5: Solve for x
    x = 42,953,121,615.16/238,448.60
  6. Step 6: Final answer
    x = 180,135.77

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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.