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Finding the Fourth Proportional to 152,596.80, 228,895.20 and 47,426.40

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Solution

The fourth proportional to 152,596.80, 228,895.20 and 47,426.40 is: 71,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,596.80 : 228,895.20 = 47,426.40 : x
  2. Step 2: Convert to fraction form
    152,596.80/228,895.20 = 47,426.40/x
  3. Step 3: Cross multiply
    152,596.80x = 228,895.20 × 47,426.40
  4. Step 4: Simplify right side
    152,596.80x = 10,855,675,313.28
  5. Step 5: Solve for x
    x = 10,855,675,313.28/152,596.80
  6. Step 6: Final answer
    x = 71,139.60

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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.