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Finding the Fourth Proportional to 102,030.57, 152,791.31 and 64,477.35

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Solution

The fourth proportional to 102,030.57, 152,791.31 and 64,477.35 is: 96,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,030.57 : 152,791.31 = 64,477.35 : x
  2. Step 2: Convert to fraction form
    102,030.57/152,791.31 = 64,477.35/x
  3. Step 3: Cross multiply
    102,030.57x = 152,791.31 × 64,477.35
  4. Step 4: Simplify right side
    102,030.57x = 9,851,578,933.02
  5. Step 5: Solve for x
    x = 9,851,578,933.02/102,030.57
  6. Step 6: Final answer
    x = 96,555.17

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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.