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Finding the Fourth Proportional to 153,478.30, 211,832.74 and 103,148.14

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Solution

The fourth proportional to 153,478.30, 211,832.74 and 103,148.14 is: 142,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,478.30 : 211,832.74 = 103,148.14 : x
  2. Step 2: Convert to fraction form
    153,478.30/211,832.74 = 103,148.14/x
  3. Step 3: Cross multiply
    153,478.30x = 211,832.74 × 103,148.14
  4. Step 4: Simplify right side
    153,478.30x = 21,850,153,122.10
  5. Step 5: Solve for x
    x = 21,850,153,122.10/153,478.30
  6. Step 6: Final answer
    x = 142,366.40

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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.