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Finding the Fourth Proportional to 214,776.25, 296,381.64 and 128,782.70

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Solution

The fourth proportional to 214,776.25, 296,381.64 and 128,782.70 is: 177,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,776.25 : 296,381.64 = 128,782.70 : x
  2. Step 2: Convert to fraction form
    214,776.25/296,381.64 = 128,782.70/x
  3. Step 3: Cross multiply
    214,776.25x = 296,381.64 × 128,782.70
  4. Step 4: Simplify right side
    214,776.25x = 38,168,827,829.63
  5. Step 5: Solve for x
    x = 38,168,827,829.63/214,776.25
  6. Step 6: Final answer
    x = 177,714.38

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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.