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Finding the Fourth Proportional to 249,782.87, 374,797.32 and 116,643.78

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Solution

The fourth proportional to 249,782.87, 374,797.32 and 116,643.78 is: 175,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,782.87 : 374,797.32 = 116,643.78 : x
  2. Step 2: Convert to fraction form
    249,782.87/374,797.32 = 116,643.78/x
  3. Step 3: Cross multiply
    249,782.87x = 374,797.32 × 116,643.78
  4. Step 4: Simplify right side
    249,782.87x = 43,717,775,493.29
  5. Step 5: Solve for x
    x = 43,717,775,493.29/249,782.87
  6. Step 6: Final answer
    x = 175,023.11

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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.