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Finding the Fourth Proportional to 288,056.80, 432,214.80 and 101,202.40

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Solution

The fourth proportional to 288,056.80, 432,214.80 and 101,202.40 is: 151,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,056.80 : 432,214.80 = 101,202.40 : x
  2. Step 2: Convert to fraction form
    288,056.80/432,214.80 = 101,202.40/x
  3. Step 3: Cross multiply
    288,056.80x = 432,214.80 × 101,202.40
  4. Step 4: Simplify right side
    288,056.80x = 43,741,175,075.52
  5. Step 5: Solve for x
    x = 43,741,175,075.52/288,056.80
  6. Step 6: Final answer
    x = 151,849.13

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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.