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Finding the Fourth Proportional to 157,878.40, 217,875.33 and 86,262.86

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Solution

The fourth proportional to 157,878.40, 217,875.33 and 86,262.86 is: 119,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,878.40 : 217,875.33 = 86,262.86 : x
  2. Step 2: Convert to fraction form
    157,878.40/217,875.33 = 86,262.86/x
  3. Step 3: Cross multiply
    157,878.40x = 217,875.33 × 86,262.86
  4. Step 4: Simplify right side
    157,878.40x = 18,794,549,089.24
  5. Step 5: Solve for x
    x = 18,794,549,089.24/157,878.40
  6. Step 6: Final answer
    x = 119,044.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.