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Finding the Fourth Proportional to 174,002.30, 240,111.80 and 102,368.48

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Solution

The fourth proportional to 174,002.30, 240,111.80 and 102,368.48 is: 141,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,002.30 : 240,111.80 = 102,368.48 : x
  2. Step 2: Convert to fraction form
    174,002.30/240,111.80 = 102,368.48/x
  3. Step 3: Cross multiply
    174,002.30x = 240,111.80 × 102,368.48
  4. Step 4: Simplify right side
    174,002.30x = 24,579,879,996.06
  5. Step 5: Solve for x
    x = 24,579,879,996.06/174,002.30
  6. Step 6: Final answer
    x = 141,261.81

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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.