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Finding the Fourth Proportional to 98,312.76, 135,669.96 and 54,703.68

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Solution

The fourth proportional to 98,312.76, 135,669.96 and 54,703.68 is: 75,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,312.76 : 135,669.96 = 54,703.68 : x
  2. Step 2: Convert to fraction form
    98,312.76/135,669.96 = 54,703.68/x
  3. Step 3: Cross multiply
    98,312.76x = 135,669.96 × 54,703.68
  4. Step 4: Simplify right side
    98,312.76x = 7,421,646,077.45
  5. Step 5: Solve for x
    x = 7,421,646,077.45/98,312.76
  6. Step 6: Final answer
    x = 75,490.16

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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.