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Finding the Fourth Proportional to 96,412.86, 144,367.79 and 77,590.08

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Solution

The fourth proportional to 96,412.86, 144,367.79 and 77,590.08 is: 116,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412.86 : 144,367.79 = 77,590.08 : x
  2. Step 2: Convert to fraction form
    96,412.86/144,367.79 = 77,590.08/x
  3. Step 3: Cross multiply
    96,412.86x = 144,367.79 × 77,590.08
  4. Step 4: Simplify right side
    96,412.86x = 11,201,507,987.57
  5. Step 5: Solve for x
    x = 11,201,507,987.57/96,412.86
  6. Step 6: Final answer
    x = 116,182.72

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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.