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Finding the Fourth Proportional to 102,365.40, 153,548.10 and 76,121.40

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Solution

The fourth proportional to 102,365.40, 153,548.10 and 76,121.40 is: 114,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,365.40 : 153,548.10 = 76,121.40 : x
  2. Step 2: Convert to fraction form
    102,365.40/153,548.10 = 76,121.40/x
  3. Step 3: Cross multiply
    102,365.40x = 153,548.10 × 76,121.40
  4. Step 4: Simplify right side
    102,365.40x = 11,688,296,339.34
  5. Step 5: Solve for x
    x = 11,688,296,339.34/102,365.40
  6. Step 6: Final answer
    x = 114,182.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.