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Finding the Fourth Proportional to 254,547.40, 381,821.10 and 149,312.20

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Solution

The fourth proportional to 254,547.40, 381,821.10 and 149,312.20 is: 223,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,547.40 : 381,821.10 = 149,312.20 : x
  2. Step 2: Convert to fraction form
    254,547.40/381,821.10 = 149,312.20/x
  3. Step 3: Cross multiply
    254,547.40x = 381,821.10 × 149,312.20
  4. Step 4: Simplify right side
    254,547.40x = 57,010,548,447.42
  5. Step 5: Solve for x
    x = 57,010,548,447.42/254,547.40
  6. Step 6: Final answer
    x = 223,968.30

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