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Finding the Fourth Proportional to 102,969, 142,023.96 and 94,498.47

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Solution

The fourth proportional to 102,969, 142,023.96 and 94,498.47 is: 130,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,969 : 142,023.96 = 94,498.47 : x
  2. Step 2: Convert to fraction form
    102,969/142,023.96 = 94,498.47/x
  3. Step 3: Cross multiply
    102,969x = 142,023.96 × 94,498.47
  4. Step 4: Simplify right side
    102,969x = 13,421,046,923.34
  5. Step 5: Solve for x
    x = 13,421,046,923.34/102,969
  6. Step 6: Final answer
    x = 130,340.66

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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.