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Finding the Fourth Proportional to 214,656.32, 296,332.32 and 134,128.48

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Solution

The fourth proportional to 214,656.32, 296,332.32 and 134,128.48 is: 185,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,656.32 : 296,332.32 = 134,128.48 : x
  2. Step 2: Convert to fraction form
    214,656.32/296,332.32 = 134,128.48/x
  3. Step 3: Cross multiply
    214,656.32x = 296,332.32 × 134,128.48
  4. Step 4: Simplify right side
    214,656.32x = 39,746,603,656.47
  5. Step 5: Solve for x
    x = 39,746,603,656.47/214,656.32
  6. Step 6: Final answer
    x = 185,163.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.