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Finding the Fourth Proportional to 130,278.38, 179,784.16 and 70,662.38

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Solution

The fourth proportional to 130,278.38, 179,784.16 and 70,662.38 is: 97,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,278.38 : 179,784.16 = 70,662.38 : x
  2. Step 2: Convert to fraction form
    130,278.38/179,784.16 = 70,662.38/x
  3. Step 3: Cross multiply
    130,278.38x = 179,784.16 × 70,662.38
  4. Step 4: Simplify right side
    130,278.38x = 12,703,975,556.32
  5. Step 5: Solve for x
    x = 12,703,975,556.32/130,278.38
  6. Step 6: Final answer
    x = 97,514.08

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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.