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Finding the Fourth Proportional to 145,030.48, 199,769.16 and 102,515.92

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Solution

The fourth proportional to 145,030.48, 199,769.16 and 102,515.92 is: 141,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,030.48 : 199,769.16 = 102,515.92 : x
  2. Step 2: Convert to fraction form
    145,030.48/199,769.16 = 102,515.92/x
  3. Step 3: Cross multiply
    145,030.48x = 199,769.16 × 102,515.92
  4. Step 4: Simplify right side
    145,030.48x = 20,479,519,225.03
  5. Step 5: Solve for x
    x = 20,479,519,225.03/145,030.48
  6. Step 6: Final answer
    x = 141,208.38

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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.