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Finding the Fourth Proportional to 102,007.30, 152,828.70 and 49,300.60

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Solution

The fourth proportional to 102,007.30, 152,828.70 and 49,300.60 is: 73,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007.30 : 152,828.70 = 49,300.60 : x
  2. Step 2: Convert to fraction form
    102,007.30/152,828.70 = 49,300.60/x
  3. Step 3: Cross multiply
    102,007.30x = 152,828.70 × 49,300.60
  4. Step 4: Simplify right side
    102,007.30x = 7,534,546,607.22
  5. Step 5: Solve for x
    x = 7,534,546,607.22/102,007.30
  6. Step 6: Final answer
    x = 73,862.82

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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.