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Finding the Fourth Proportional to 295,001.40, 407,094.06 and 165,953.88

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Solution

The fourth proportional to 295,001.40, 407,094.06 and 165,953.88 is: 229,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,001.40 : 407,094.06 = 165,953.88 : x
  2. Step 2: Convert to fraction form
    295,001.40/407,094.06 = 165,953.88/x
  3. Step 3: Cross multiply
    295,001.40x = 407,094.06 × 165,953.88
  4. Step 4: Simplify right side
    295,001.40x = 67,558,838,781.95
  5. Step 5: Solve for x
    x = 67,558,838,781.95/295,001.40
  6. Step 6: Final answer
    x = 229,011.93

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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.