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Finding the Fourth Proportional to 130,596.40, 195,968.40 and 55,709.47

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Solution

The fourth proportional to 130,596.40, 195,968.40 and 55,709.47 is: 83,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,596.40 : 195,968.40 = 55,709.47 : x
  2. Step 2: Convert to fraction form
    130,596.40/195,968.40 = 55,709.47/x
  3. Step 3: Cross multiply
    130,596.40x = 195,968.40 × 55,709.47
  4. Step 4: Simplify right side
    130,596.40x = 10,917,294,929.82
  5. Step 5: Solve for x
    x = 10,917,294,929.82/130,596.40
  6. Step 6: Final answer
    x = 83,595.68

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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.