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Finding the Fourth Proportional to 137,373.44, 189,575.35 and 83,658.46

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Solution

The fourth proportional to 137,373.44, 189,575.35 and 83,658.46 is: 115,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,373.44 : 189,575.35 = 83,658.46 : x
  2. Step 2: Convert to fraction form
    137,373.44/189,575.35 = 83,658.46/x
  3. Step 3: Cross multiply
    137,373.44x = 189,575.35 × 83,658.46
  4. Step 4: Simplify right side
    137,373.44x = 15,859,580,962.38
  5. Step 5: Solve for x
    x = 15,859,580,962.38/137,373.44
  6. Step 6: Final answer
    x = 115,448.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.