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Finding the Fourth Proportional to 119,006, 178,509.04 and 45,134

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Solution

The fourth proportional to 119,006, 178,509.04 and 45,134 is: 67,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,006 : 178,509.04 = 45,134 : x
  2. Step 2: Convert to fraction form
    119,006/178,509.04 = 45,134/x
  3. Step 3: Cross multiply
    119,006x = 178,509.04 × 45,134
  4. Step 4: Simplify right side
    119,006x = 8,056,827,011.36
  5. Step 5: Solve for x
    x = 8,056,827,011.36/119,006
  6. Step 6: Final answer
    x = 67,701.02

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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.