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Finding the Fourth Proportional to 158,646.70, 237,977.94 and 52,041.40

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Solution

The fourth proportional to 158,646.70, 237,977.94 and 52,041.40 is: 78,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,646.70 : 237,977.94 = 52,041.40 : x
  2. Step 2: Convert to fraction form
    158,646.70/237,977.94 = 52,041.40/x
  3. Step 3: Cross multiply
    158,646.70x = 237,977.94 × 52,041.40
  4. Step 4: Simplify right side
    158,646.70x = 12,384,705,166.72
  5. Step 5: Solve for x
    x = 12,384,705,166.72/158,646.70
  6. Step 6: Final answer
    x = 78,064.69

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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.