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Finding the Fourth Proportional to 292,465, 438,695.34 and 82,102.96

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Solution

The fourth proportional to 292,465, 438,695.34 and 82,102.96 is: 123,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,465 : 438,695.34 = 82,102.96 : x
  2. Step 2: Convert to fraction form
    292,465/438,695.34 = 82,102.96/x
  3. Step 3: Cross multiply
    292,465x = 438,695.34 × 82,102.96
  4. Step 4: Simplify right side
    292,465x = 36,018,185,952.21
  5. Step 5: Solve for x
    x = 36,018,185,952.21/292,465
  6. Step 6: Final answer
    x = 123,153.83

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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.