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Finding the Fourth Proportional to 139,851.36, 209,731.68 and 46,332

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Solution

The fourth proportional to 139,851.36, 209,731.68 and 46,332 is: 69,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,851.36 : 209,731.68 = 46,332 : x
  2. Step 2: Convert to fraction form
    139,851.36/209,731.68 = 46,332/x
  3. Step 3: Cross multiply
    139,851.36x = 209,731.68 × 46,332
  4. Step 4: Simplify right side
    139,851.36x = 9,717,288,197.76
  5. Step 5: Solve for x
    x = 9,717,288,197.76/139,851.36
  6. Step 6: Final answer
    x = 69,482.97

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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.