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Finding the Fourth Proportional to 288,097.20, 432,145.80 and 77,734.80

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Solution

The fourth proportional to 288,097.20, 432,145.80 and 77,734.80 is: 116,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,097.20 : 432,145.80 = 77,734.80 : x
  2. Step 2: Convert to fraction form
    288,097.20/432,145.80 = 77,734.80/x
  3. Step 3: Cross multiply
    288,097.20x = 432,145.80 × 77,734.80
  4. Step 4: Simplify right side
    288,097.20x = 33,592,767,333.84
  5. Step 5: Solve for x
    x = 33,592,767,333.84/288,097.20
  6. Step 6: Final answer
    x = 116,602.20

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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.