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Finding the Fourth Proportional to 230,804.50, 346,206.75 and 64,592.50

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Solution

The fourth proportional to 230,804.50, 346,206.75 and 64,592.50 is: 96,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,804.50 : 346,206.75 = 64,592.50 : x
  2. Step 2: Convert to fraction form
    230,804.50/346,206.75 = 64,592.50/x
  3. Step 3: Cross multiply
    230,804.50x = 346,206.75 × 64,592.50
  4. Step 4: Simplify right side
    230,804.50x = 22,362,359,499.38
  5. Step 5: Solve for x
    x = 22,362,359,499.38/230,804.50
  6. Step 6: Final answer
    x = 96,888.75

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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.