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Finding the Fourth Proportional to 98,770, 136,302.96 and 54,058

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Solution

The fourth proportional to 98,770, 136,302.96 and 54,058 is: 74,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,770 : 136,302.96 = 54,058 : x
  2. Step 2: Convert to fraction form
    98,770/136,302.96 = 54,058/x
  3. Step 3: Cross multiply
    98,770x = 136,302.96 × 54,058
  4. Step 4: Simplify right side
    98,770x = 7,368,265,411.68
  5. Step 5: Solve for x
    x = 7,368,265,411.68/98,770
  6. Step 6: Final answer
    x = 74,600.24

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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.