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Finding the Fourth Proportional to 157,833.30, 236,548.35 and 64,233.30

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Solution

The fourth proportional to 157,833.30, 236,548.35 and 64,233.30 is: 96,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,833.30 : 236,548.35 = 64,233.30 : x
  2. Step 2: Convert to fraction form
    157,833.30/236,548.35 = 64,233.30/x
  3. Step 3: Cross multiply
    157,833.30x = 236,548.35 × 64,233.30
  4. Step 4: Simplify right side
    157,833.30x = 15,194,281,130.06
  5. Step 5: Solve for x
    x = 15,194,281,130.06/157,833.30
  6. Step 6: Final answer
    x = 96,267.90

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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.