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Finding the Fourth Proportional to 98,010.51, 146,830.77 and 57,909.84

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Solution

The fourth proportional to 98,010.51, 146,830.77 and 57,909.84 is: 86,755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,010.51 : 146,830.77 = 57,909.84 : x
  2. Step 2: Convert to fraction form
    98,010.51/146,830.77 = 57,909.84/x
  3. Step 3: Cross multiply
    98,010.51x = 146,830.77 × 57,909.84
  4. Step 4: Simplify right side
    98,010.51x = 8,502,946,397.78
  5. Step 5: Solve for x
    x = 8,502,946,397.78/98,010.51
  6. Step 6: Final answer
    x = 86,755.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.