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Finding the Fourth Proportional to 100,200.30, 150,300.45 and 99,509.10

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Solution

The fourth proportional to 100,200.30, 150,300.45 and 99,509.10 is: 149,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.30 : 150,300.45 = 99,509.10 : x
  2. Step 2: Convert to fraction form
    100,200.30/150,300.45 = 99,509.10/x
  3. Step 3: Cross multiply
    100,200.30x = 150,300.45 × 99,509.10
  4. Step 4: Simplify right side
    100,200.30x = 14,956,262,509.10
  5. Step 5: Solve for x
    x = 14,956,262,509.10/100,200.30
  6. Step 6: Final answer
    x = 149,263.65

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1.5x scale

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.