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Finding the Fourth Proportional to 201,637.50, 302,456.25 and 70,309.50

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Solution

The fourth proportional to 201,637.50, 302,456.25 and 70,309.50 is: 105,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,637.50 : 302,456.25 = 70,309.50 : x
  2. Step 2: Convert to fraction form
    201,637.50/302,456.25 = 70,309.50/x
  3. Step 3: Cross multiply
    201,637.50x = 302,456.25 × 70,309.50
  4. Step 4: Simplify right side
    201,637.50x = 21,265,547,709.38
  5. Step 5: Solve for x
    x = 21,265,547,709.38/201,637.50
  6. Step 6: Final answer
    x = 105,464.25

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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.