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Finding the Fourth Proportional to 242,692.60, 364,038.90 and 137,716.60

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Solution

The fourth proportional to 242,692.60, 364,038.90 and 137,716.60 is: 206,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,692.60 : 364,038.90 = 137,716.60 : x
  2. Step 2: Convert to fraction form
    242,692.60/364,038.90 = 137,716.60/x
  3. Step 3: Cross multiply
    242,692.60x = 364,038.90 × 137,716.60
  4. Step 4: Simplify right side
    242,692.60x = 50,134,199,575.74
  5. Step 5: Solve for x
    x = 50,134,199,575.74/242,692.60
  6. Step 6: Final answer
    x = 206,574.90

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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.