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Finding the Fourth Proportional to 249,796.74, 344,698.71 and 140,895.08

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Solution

The fourth proportional to 249,796.74, 344,698.71 and 140,895.08 is: 194,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,796.74 : 344,698.71 = 140,895.08 : x
  2. Step 2: Convert to fraction form
    249,796.74/344,698.71 = 140,895.08/x
  3. Step 3: Cross multiply
    249,796.74x = 344,698.71 × 140,895.08
  4. Step 4: Simplify right side
    249,796.74x = 48,566,351,362.12
  5. Step 5: Solve for x
    x = 48,566,351,362.12/249,796.74
  6. Step 6: Final answer
    x = 194,423.48

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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.