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Finding the Fourth Proportional to 97,902, 135,104.76 and 53,190

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Solution

The fourth proportional to 97,902, 135,104.76 and 53,190 is: 73,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,902 : 135,104.76 = 53,190 : x
  2. Step 2: Convert to fraction form
    97,902/135,104.76 = 53,190/x
  3. Step 3: Cross multiply
    97,902x = 135,104.76 × 53,190
  4. Step 4: Simplify right side
    97,902x = 7,186,222,184.40
  5. Step 5: Solve for x
    x = 7,186,222,184.40/97,902
  6. Step 6: Final answer
    x = 73,402.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.