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Finding the Fourth Proportional to 142,424.30, 213,502.80 and 53,737.40

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Solution

The fourth proportional to 142,424.30, 213,502.80 and 53,737.40 is: 80,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,424.30 : 213,502.80 = 53,737.40 : x
  2. Step 2: Convert to fraction form
    142,424.30/213,502.80 = 53,737.40/x
  3. Step 3: Cross multiply
    142,424.30x = 213,502.80 × 53,737.40
  4. Step 4: Simplify right side
    142,424.30x = 11,473,085,364.72
  5. Step 5: Solve for x
    x = 11,473,085,364.72/142,424.30
  6. Step 6: Final answer
    x = 80,555.67

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1.5x scale

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.