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Finding the Fourth Proportional to 292,056.13, 403,030.16 and 164,721.70

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Solution

The fourth proportional to 292,056.13, 403,030.16 and 164,721.70 is: 227,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,056.13 : 403,030.16 = 164,721.70 : x
  2. Step 2: Convert to fraction form
    292,056.13/403,030.16 = 164,721.70/x
  3. Step 3: Cross multiply
    292,056.13x = 403,030.16 × 164,721.70
  4. Step 4: Simplify right side
    292,056.13x = 66,387,811,091.32
  5. Step 5: Solve for x
    x = 66,387,811,091.32/292,056.13
  6. Step 6: Final answer
    x = 227,311.83

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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.