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Finding the Fourth Proportional to 153,078.84, 229,642.02 and 78,158.34

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Solution

The fourth proportional to 153,078.84, 229,642.02 and 78,158.34 is: 117,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,078.84 : 229,642.02 = 78,158.34 : x
  2. Step 2: Convert to fraction form
    153,078.84/229,642.02 = 78,158.34/x
  3. Step 3: Cross multiply
    153,078.84x = 229,642.02 × 78,158.34
  4. Step 4: Simplify right side
    153,078.84x = 17,948,439,077.45
  5. Step 5: Solve for x
    x = 17,948,439,077.45/153,078.84
  6. Step 6: Final answer
    x = 117,249.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.