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Finding the Fourth Proportional to 237,830.91, 328,216.91 and 142,319.22

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Solution

The fourth proportional to 237,830.91, 328,216.91 and 142,319.22 is: 196,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,830.91 : 328,216.91 = 142,319.22 : x
  2. Step 2: Convert to fraction form
    237,830.91/328,216.91 = 142,319.22/x
  3. Step 3: Cross multiply
    237,830.91x = 328,216.91 × 142,319.22
  4. Step 4: Simplify right side
    237,830.91x = 46,711,573,910.41
  5. Step 5: Solve for x
    x = 46,711,573,910.41/237,830.91
  6. Step 6: Final answer
    x = 196,406.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.