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Finding the Fourth Proportional to 144,656.34, 217,124.64 and 69,829.08

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Solution

The fourth proportional to 144,656.34, 217,124.64 and 69,829.08 is: 104,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,656.34 : 217,124.64 = 69,829.08 : x
  2. Step 2: Convert to fraction form
    144,656.34/217,124.64 = 69,829.08/x
  3. Step 3: Cross multiply
    144,656.34x = 217,124.64 × 69,829.08
  4. Step 4: Simplify right side
    144,656.34x = 15,161,613,856.53
  5. Step 5: Solve for x
    x = 15,161,613,856.53/144,656.34
  6. Step 6: Final answer
    x = 104,811.26

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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.