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Finding the Fourth Proportional to 153,919.96, 230,878.46 and 82,875.80

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Solution

The fourth proportional to 153,919.96, 230,878.46 and 82,875.80 is: 124,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,919.96 : 230,878.46 = 82,875.80 : x
  2. Step 2: Convert to fraction form
    153,919.96/230,878.46 = 82,875.80/x
  3. Step 3: Cross multiply
    153,919.96x = 230,878.46 × 82,875.80
  4. Step 4: Simplify right side
    153,919.96x = 19,134,237,075.27
  5. Step 5: Solve for x
    x = 19,134,237,075.27/153,919.96
  6. Step 6: Final answer
    x = 124,312.90

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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.