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Finding the Fourth Proportional to 195,108, 292,655.48 and 82,715.91

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Solution

The fourth proportional to 195,108, 292,655.48 and 82,715.91 is: 124,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,108 : 292,655.48 = 82,715.91 : x
  2. Step 2: Convert to fraction form
    195,108/292,655.48 = 82,715.91/x
  3. Step 3: Cross multiply
    195,108x = 292,655.48 × 82,715.91
  4. Step 4: Simplify right side
    195,108x = 24,207,263,931.11
  5. Step 5: Solve for x
    x = 24,207,263,931.11/195,108
  6. Step 6: Final answer
    x = 124,071.10

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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.