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Finding the Fourth Proportional to 195,005, 292,507.50 and 47,261

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Solution

The fourth proportional to 195,005, 292,507.50 and 47,261 is: 70,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,005 : 292,507.50 = 47,261 : x
  2. Step 2: Convert to fraction form
    195,005/292,507.50 = 47,261/x
  3. Step 3: Cross multiply
    195,005x = 292,507.50 × 47,261
  4. Step 4: Simplify right side
    195,005x = 13,824,196,957.50
  5. Step 5: Solve for x
    x = 13,824,196,957.50/195,005
  6. Step 6: Final answer
    x = 70,891.50

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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.