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Finding the Fourth Proportional to 292,399.19, 403,510.98 and 165,082.98

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Solution

The fourth proportional to 292,399.19, 403,510.98 and 165,082.98 is: 227,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,399.19 : 403,510.98 = 165,082.98 : x
  2. Step 2: Convert to fraction form
    292,399.19/403,510.98 = 165,082.98/x
  3. Step 3: Cross multiply
    292,399.19x = 403,510.98 × 165,082.98
  4. Step 4: Simplify right side
    292,399.19x = 66,612,795,041.12
  5. Step 5: Solve for x
    x = 66,612,795,041.12/292,399.19
  6. Step 6: Final answer
    x = 227,814.57

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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.