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Finding the Fourth Proportional to 65,205.54, 97,864.20 and 64,714.68

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Solution

The fourth proportional to 65,205.54, 97,864.20 and 64,714.68 is: 97,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.54 : 97,864.20 = 64,714.68 : x
  2. Step 2: Convert to fraction form
    65,205.54/97,864.20 = 64,714.68/x
  3. Step 3: Cross multiply
    65,205.54x = 97,864.20 × 64,714.68
  4. Step 4: Simplify right side
    65,205.54x = 6,333,250,386.46
  5. Step 5: Solve for x
    x = 6,333,250,386.46/65,205.54
  6. Step 6: Final answer
    x = 97,127.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.