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Finding the Fourth Proportional to 206,075.80, 309,113.70 and 153,587.80

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Solution

The fourth proportional to 206,075.80, 309,113.70 and 153,587.80 is: 230,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,075.80 : 309,113.70 = 153,587.80 : x
  2. Step 2: Convert to fraction form
    206,075.80/309,113.70 = 153,587.80/x
  3. Step 3: Cross multiply
    206,075.80x = 309,113.70 × 153,587.80
  4. Step 4: Simplify right side
    206,075.80x = 47,476,093,132.86
  5. Step 5: Solve for x
    x = 47,476,093,132.86/206,075.80
  6. Step 6: Final answer
    x = 230,381.70

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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.