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Finding the Fourth Proportional to 98,810.51, 148,223.30 and 48,877.20

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Solution

The fourth proportional to 98,810.51, 148,223.30 and 48,877.20 is: 73,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,810.51 : 148,223.30 = 48,877.20 : x
  2. Step 2: Convert to fraction form
    98,810.51/148,223.30 = 48,877.20/x
  3. Step 3: Cross multiply
    98,810.51x = 148,223.30 × 48,877.20
  4. Step 4: Simplify right side
    98,810.51x = 7,244,739,634.37
  5. Step 5: Solve for x
    x = 7,244,739,634.37/98,810.51
  6. Step 6: Final answer
    x = 73,319.53

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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.