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Finding the Fourth Proportional to 242,323.68, 363,464.64 and 147,529.32

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Solution

The fourth proportional to 242,323.68, 363,464.64 and 147,529.32 is: 221,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,323.68 : 363,464.64 = 147,529.32 : x
  2. Step 2: Convert to fraction form
    242,323.68/363,464.64 = 147,529.32/x
  3. Step 3: Cross multiply
    242,323.68x = 363,464.64 × 147,529.32
  4. Step 4: Simplify right side
    242,323.68x = 53,621,691,183.24
  5. Step 5: Solve for x
    x = 53,621,691,183.24/242,323.68
  6. Step 6: Final answer
    x = 221,281.27

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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.