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Finding the Fourth Proportional to 98,153.58, 147,259.93 and 34,965.45

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Solution

The fourth proportional to 98,153.58, 147,259.93 and 34,965.45 is: 52,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,153.58 : 147,259.93 = 34,965.45 : x
  2. Step 2: Convert to fraction form
    98,153.58/147,259.93 = 34,965.45/x
  3. Step 3: Cross multiply
    98,153.58x = 147,259.93 × 34,965.45
  4. Step 4: Simplify right side
    98,153.58x = 5,149,010,129.23
  5. Step 5: Solve for x
    x = 5,149,010,129.23/98,153.58
  6. Step 6: Final answer
    x = 52,458.71

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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.