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Finding the Fourth Proportional to 292,437.67, 403,564.06 and 158,301.67

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Solution

The fourth proportional to 292,437.67, 403,564.06 and 158,301.67 is: 218,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,437.67 : 403,564.06 = 158,301.67 : x
  2. Step 2: Convert to fraction form
    292,437.67/403,564.06 = 158,301.67/x
  3. Step 3: Cross multiply
    292,437.67x = 403,564.06 × 158,301.67
  4. Step 4: Simplify right side
    292,437.67x = 63,884,864,649.98
  5. Step 5: Solve for x
    x = 63,884,864,649.98/292,437.67
  6. Step 6: Final answer
    x = 218,456.35

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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.