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Finding the Fourth Proportional to 199,534.10, 299,301.15 and 94,558.10

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Solution

The fourth proportional to 199,534.10, 299,301.15 and 94,558.10 is: 141,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,534.10 : 299,301.15 = 94,558.10 : x
  2. Step 2: Convert to fraction form
    199,534.10/299,301.15 = 94,558.10/x
  3. Step 3: Cross multiply
    199,534.10x = 299,301.15 × 94,558.10
  4. Step 4: Simplify right side
    199,534.10x = 28,301,348,071.82
  5. Step 5: Solve for x
    x = 28,301,348,071.82/199,534.10
  6. Step 6: Final answer
    x = 141,837.15

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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.