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Finding the Fourth Proportional to 178,136.40, 266,686.20 and 157,400.40

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Solution

The fourth proportional to 178,136.40, 266,686.20 and 157,400.40 is: 235,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,136.40 : 266,686.20 = 157,400.40 : x
  2. Step 2: Convert to fraction form
    178,136.40/266,686.20 = 157,400.40/x
  3. Step 3: Cross multiply
    178,136.40x = 266,686.20 × 157,400.40
  4. Step 4: Simplify right side
    178,136.40x = 41,976,514,554.48
  5. Step 5: Solve for x
    x = 41,976,514,554.48/178,136.40
  6. Step 6: Final answer
    x = 235,642.54

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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.