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Finding the Fourth Proportional to 109,547.10, 151,161.21 and 64,214.64

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Solution

The fourth proportional to 109,547.10, 151,161.21 and 64,214.64 is: 88,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,547.10 : 151,161.21 = 64,214.64 : x
  2. Step 2: Convert to fraction form
    109,547.10/151,161.21 = 64,214.64/x
  3. Step 3: Cross multiply
    109,547.10x = 151,161.21 × 64,214.64
  4. Step 4: Simplify right side
    109,547.10x = 9,706,762,682.11
  5. Step 5: Solve for x
    x = 9,706,762,682.11/109,547.10
  6. Step 6: Final answer
    x = 88,608.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.