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Finding the Fourth Proportional to 97,088.42, 134,023.48 and 65,275.77

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Solution

The fourth proportional to 97,088.42, 134,023.48 and 65,275.77 is: 90,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,088.42 : 134,023.48 = 65,275.77 : x
  2. Step 2: Convert to fraction form
    97,088.42/134,023.48 = 65,275.77/x
  3. Step 3: Cross multiply
    97,088.42x = 134,023.48 × 65,275.77
  4. Step 4: Simplify right side
    97,088.42x = 8,748,485,855.08
  5. Step 5: Solve for x
    x = 8,748,485,855.08/97,088.42
  6. Step 6: Final answer
    x = 90,108.44

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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.