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Finding the Fourth Proportional to 174,054.49, 240,177.15 and 102,430.24

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Solution

The fourth proportional to 174,054.49, 240,177.15 and 102,430.24 is: 141,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,054.49 : 240,177.15 = 102,430.24 : x
  2. Step 2: Convert to fraction form
    174,054.49/240,177.15 = 102,430.24/x
  3. Step 3: Cross multiply
    174,054.49x = 240,177.15 × 102,430.24
  4. Step 4: Simplify right side
    174,054.49x = 24,601,402,516.57
  5. Step 5: Solve for x
    x = 24,601,402,516.57/174,054.49
  6. Step 6: Final answer
    x = 141,343.11

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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.