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Finding the Fourth Proportional to 278,547.90, 384,505.83 and 187,957.50

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Solution

The fourth proportional to 278,547.90, 384,505.83 and 187,957.50 is: 259,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,547.90 : 384,505.83 = 187,957.50 : x
  2. Step 2: Convert to fraction form
    278,547.90/384,505.83 = 187,957.50/x
  3. Step 3: Cross multiply
    278,547.90x = 384,505.83 × 187,957.50
  4. Step 4: Simplify right side
    278,547.90x = 72,270,754,542.23
  5. Step 5: Solve for x
    x = 72,270,754,542.23/278,547.90
  6. Step 6: Final answer
    x = 259,455.39

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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.