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Finding the Fourth Proportional to 130,116.42, 195,041.70 and 73,837.67

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Solution

The fourth proportional to 130,116.42, 195,041.70 and 73,837.67 is: 110,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,116.42 : 195,041.70 = 73,837.67 : x
  2. Step 2: Convert to fraction form
    130,116.42/195,041.70 = 73,837.67/x
  3. Step 3: Cross multiply
    130,116.42x = 195,041.70 × 73,837.67
  4. Step 4: Simplify right side
    130,116.42x = 14,401,423,705.63
  5. Step 5: Solve for x
    x = 14,401,423,705.63/130,116.42
  6. Step 6: Final answer
    x = 110,681.06

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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.