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Finding the Fourth Proportional to 292,495.32, 438,740.96 and 82,133.46

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Solution

The fourth proportional to 292,495.32, 438,740.96 and 82,133.46 is: 123,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,495.32 : 438,740.96 = 82,133.46 : x
  2. Step 2: Convert to fraction form
    292,495.32/438,740.96 = 82,133.46/x
  3. Step 3: Cross multiply
    292,495.32x = 438,740.96 × 82,133.46
  4. Step 4: Simplify right side
    292,495.32x = 36,035,312,677.85
  5. Step 5: Solve for x
    x = 36,035,312,677.85/292,495.32
  6. Step 6: Final answer
    x = 123,199.62

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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.