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Finding the Fourth Proportional to 142,052.70, 212,931.45 and 57,776.70

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Solution

The fourth proportional to 142,052.70, 212,931.45 and 57,776.70 is: 86,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,052.70 : 212,931.45 = 57,776.70 : x
  2. Step 2: Convert to fraction form
    142,052.70/212,931.45 = 57,776.70/x
  3. Step 3: Cross multiply
    142,052.70x = 212,931.45 × 57,776.70
  4. Step 4: Simplify right side
    142,052.70x = 12,302,476,507.22
  5. Step 5: Solve for x
    x = 12,302,476,507.22/142,052.70
  6. Step 6: Final answer
    x = 86,605.02

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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.