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Finding the Fourth Proportional to 249,334.50, 344,106.52 and 148,732.50

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Solution

The fourth proportional to 249,334.50, 344,106.52 and 148,732.50 is: 205,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,334.50 : 344,106.52 = 148,732.50 : x
  2. Step 2: Convert to fraction form
    249,334.50/344,106.52 = 148,732.50/x
  3. Step 3: Cross multiply
    249,334.50x = 344,106.52 × 148,732.50
  4. Step 4: Simplify right side
    249,334.50x = 51,179,822,985.90
  5. Step 5: Solve for x
    x = 51,179,822,985.90/249,334.50
  6. Step 6: Final answer
    x = 205,265.71

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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.