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Finding the Fourth Proportional to 130,503.66, 195,820.29 and 51,674.46

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Solution

The fourth proportional to 130,503.66, 195,820.29 and 51,674.46 is: 77,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,503.66 : 195,820.29 = 51,674.46 : x
  2. Step 2: Convert to fraction form
    130,503.66/195,820.29 = 51,674.46/x
  3. Step 3: Cross multiply
    130,503.66x = 195,820.29 × 51,674.46
  4. Step 4: Simplify right side
    130,503.66x = 10,118,907,742.79
  5. Step 5: Solve for x
    x = 10,118,907,742.79/130,503.66
  6. Step 6: Final answer
    x = 77,537.35

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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.