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Finding the Fourth Proportional to 98,058, 135,322.20 and 53,346

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Solution

The fourth proportional to 98,058, 135,322.20 and 53,346 is: 73,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,058 : 135,322.20 = 53,346 : x
  2. Step 2: Convert to fraction form
    98,058/135,322.20 = 53,346/x
  3. Step 3: Cross multiply
    98,058x = 135,322.20 × 53,346
  4. Step 4: Simplify right side
    98,058x = 7,218,898,081.20
  5. Step 5: Solve for x
    x = 7,218,898,081.20/98,058
  6. Step 6: Final answer
    x = 73,618.66

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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.