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Finding the Fourth Proportional to 97,090.86, 134,026.68 and 65,278.20

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Solution

The fourth proportional to 97,090.86, 134,026.68 and 65,278.20 is: 90,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,090.86 : 134,026.68 = 65,278.20 : x
  2. Step 2: Convert to fraction form
    97,090.86/134,026.68 = 65,278.20/x
  3. Step 3: Cross multiply
    97,090.86x = 134,026.68 × 65,278.20
  4. Step 4: Simplify right side
    97,090.86x = 8,749,020,422.38
  5. Step 5: Solve for x
    x = 8,749,020,422.38/97,090.86
  6. Step 6: Final answer
    x = 90,111.68

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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.