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Finding the Fourth Proportional to 255,353.13, 383,055.62 and 97,714.17

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Solution

The fourth proportional to 255,353.13, 383,055.62 and 97,714.17 is: 146,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,353.13 : 383,055.62 = 97,714.17 : x
  2. Step 2: Convert to fraction form
    255,353.13/383,055.62 = 97,714.17/x
  3. Step 3: Cross multiply
    255,353.13x = 383,055.62 × 97,714.17
  4. Step 4: Simplify right side
    255,353.13x = 37,429,961,483.56
  5. Step 5: Solve for x
    x = 37,429,961,483.56/255,353.13
  6. Step 6: Final answer
    x = 146,581.17

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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.