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Finding the Fourth Proportional to 102,509.80, 153,764.70 and 98,573.20

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Solution

The fourth proportional to 102,509.80, 153,764.70 and 98,573.20 is: 147,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,509.80 : 153,764.70 = 98,573.20 : x
  2. Step 2: Convert to fraction form
    102,509.80/153,764.70 = 98,573.20/x
  3. Step 3: Cross multiply
    102,509.80x = 153,764.70 × 98,573.20
  4. Step 4: Simplify right side
    102,509.80x = 15,157,078,526.04
  5. Step 5: Solve for x
    x = 15,157,078,526.04/102,509.80
  6. Step 6: Final answer
    x = 147,859.80

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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.