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Finding the Fourth Proportional to 130,525.63, 195,802.11 and 55,653.68

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Solution

The fourth proportional to 130,525.63, 195,802.11 and 55,653.68 is: 83,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,525.63 : 195,802.11 = 55,653.68 : x
  2. Step 2: Convert to fraction form
    130,525.63/195,802.11 = 55,653.68/x
  3. Step 3: Cross multiply
    130,525.63x = 195,802.11 × 55,653.68
  4. Step 4: Simplify right side
    130,525.63x = 10,897,108,462.77
  5. Step 5: Solve for x
    x = 10,897,108,462.77/130,525.63
  6. Step 6: Final answer
    x = 83,486.35

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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.