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Finding the Fourth Proportional to 141,648.56, 212,503.16 and 57,407.76

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Solution

The fourth proportional to 141,648.56, 212,503.16 and 57,407.76 is: 86,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,648.56 : 212,503.16 = 57,407.76 : x
  2. Step 2: Convert to fraction form
    141,648.56/212,503.16 = 57,407.76/x
  3. Step 3: Cross multiply
    141,648.56x = 212,503.16 × 57,407.76
  4. Step 4: Simplify right side
    141,648.56x = 12,199,330,408.52
  5. Step 5: Solve for x
    x = 12,199,330,408.52/141,648.56
  6. Step 6: Final answer
    x = 86,123.93

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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.