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Finding the Fourth Proportional to 130,068.72, 195,093.36 and 46,962.72

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Solution

The fourth proportional to 130,068.72, 195,093.36 and 46,962.72 is: 70,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,068.72 : 195,093.36 = 46,962.72 : x
  2. Step 2: Convert to fraction form
    130,068.72/195,093.36 = 46,962.72/x
  3. Step 3: Cross multiply
    130,068.72x = 195,093.36 × 46,962.72
  4. Step 4: Simplify right side
    130,068.72x = 9,162,114,839.54
  5. Step 5: Solve for x
    x = 9,162,114,839.54/130,068.72
  6. Step 6: Final answer
    x = 70,440.57

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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.