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Finding the Fourth Proportional to 157,514.65, 236,271.98 and 157,514.65

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Solution

The fourth proportional to 157,514.65, 236,271.98 and 157,514.65 is: 236,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,514.65 : 236,271.98 = 157,514.65 : x
  2. Step 2: Convert to fraction form
    157,514.65/236,271.98 = 157,514.65/x
  3. Step 3: Cross multiply
    157,514.65x = 236,271.98 × 157,514.65
  4. Step 4: Simplify right side
    157,514.65x = 37,216,297,446.93
  5. Step 5: Solve for x
    x = 37,216,297,446.93/157,514.65
  6. Step 6: Final answer
    x = 236,271.98

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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.