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Finding the Fourth Proportional to 214,908, 296,567.16 and 119,412.24

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Solution

The fourth proportional to 214,908, 296,567.16 and 119,412.24 is: 164,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908 : 296,567.16 = 119,412.24 : x
  2. Step 2: Convert to fraction form
    214,908/296,567.16 = 119,412.24/x
  3. Step 3: Cross multiply
    214,908x = 296,567.16 × 119,412.24
  4. Step 4: Simplify right side
    214,908x = 35,413,748,886.04
  5. Step 5: Solve for x
    x = 35,413,748,886.04/214,908
  6. Step 6: Final answer
    x = 164,785.62

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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.