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Finding the Fourth Proportional to 292,716.16, 403,950.24 and 158,580.16

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Solution

The fourth proportional to 292,716.16, 403,950.24 and 158,580.16 is: 218,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,716.16 : 403,950.24 = 158,580.16 : x
  2. Step 2: Convert to fraction form
    292,716.16/403,950.24 = 158,580.16/x
  3. Step 3: Cross multiply
    292,716.16x = 403,950.24 × 158,580.16
  4. Step 4: Simplify right side
    292,716.16x = 64,058,493,691.24
  5. Step 5: Solve for x
    x = 64,058,493,691.24/292,716.16
  6. Step 6: Final answer
    x = 218,841.67

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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.