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Finding the Fourth Proportional to 137,720.72, 190,043.24 and 97,458.08

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Solution

The fourth proportional to 137,720.72, 190,043.24 and 97,458.08 is: 134,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,720.72 : 190,043.24 = 97,458.08 : x
  2. Step 2: Convert to fraction form
    137,720.72/190,043.24 = 97,458.08/x
  3. Step 3: Cross multiply
    137,720.72x = 190,043.24 × 97,458.08
  4. Step 4: Simplify right side
    137,720.72x = 18,521,249,287.38
  5. Step 5: Solve for x
    x = 18,521,249,287.38/137,720.72
  6. Step 6: Final answer
    x = 134,484.12

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Why These Related Problems?

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