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Finding the Fourth Proportional to 254,893.68, 382,116.96 and 97,017.12

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Solution

The fourth proportional to 254,893.68, 382,116.96 and 97,017.12 is: 145,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,893.68 : 382,116.96 = 97,017.12 : x
  2. Step 2: Convert to fraction form
    254,893.68/382,116.96 = 97,017.12/x
  3. Step 3: Cross multiply
    254,893.68x = 382,116.96 × 97,017.12
  4. Step 4: Simplify right side
    254,893.68x = 37,071,886,962.36
  5. Step 5: Solve for x
    x = 37,071,886,962.36/254,893.68
  6. Step 6: Final answer
    x = 145,440.59

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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.