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Finding the Fourth Proportional to 153,414, 211,714.56 and 86,346

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Solution

The fourth proportional to 153,414, 211,714.56 and 86,346 is: 119,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,414 : 211,714.56 = 86,346 : x
  2. Step 2: Convert to fraction form
    153,414/211,714.56 = 86,346/x
  3. Step 3: Cross multiply
    153,414x = 211,714.56 × 86,346
  4. Step 4: Simplify right side
    153,414x = 18,280,705,397.76
  5. Step 5: Solve for x
    x = 18,280,705,397.76/153,414
  6. Step 6: Final answer
    x = 119,159.30

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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.