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Finding the Fourth Proportional to 354,564.64, 531,842.86 and 101,851.32

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Solution

The fourth proportional to 354,564.64, 531,842.86 and 101,851.32 is: 152,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,564.64 : 531,842.86 = 101,851.32 : x
  2. Step 2: Convert to fraction form
    354,564.64/531,842.86 = 101,851.32/x
  3. Step 3: Cross multiply
    354,564.64x = 531,842.86 × 101,851.32
  4. Step 4: Simplify right side
    354,564.64x = 54,168,899,445.30
  5. Step 5: Solve for x
    x = 54,168,899,445.30/354,564.64
  6. Step 6: Final answer
    x = 152,775.81

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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.