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Finding the Fourth Proportional to 142,775.70, 213,904.35 and 116,337.30

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Solution

The fourth proportional to 142,775.70, 213,904.35 and 116,337.30 is: 174,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,775.70 : 213,904.35 = 116,337.30 : x
  2. Step 2: Convert to fraction form
    142,775.70/213,904.35 = 116,337.30/x
  3. Step 3: Cross multiply
    142,775.70x = 213,904.35 × 116,337.30
  4. Step 4: Simplify right side
    142,775.70x = 24,885,054,537.26
  5. Step 5: Solve for x
    x = 24,885,054,537.26/142,775.70
  6. Step 6: Final answer
    x = 174,294.75

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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.