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Finding the Fourth Proportional to 201,991.80, 302,547.06 and 166,533.24

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Solution

The fourth proportional to 201,991.80, 302,547.06 and 166,533.24 is: 249,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,991.80 : 302,547.06 = 166,533.24 : x
  2. Step 2: Convert to fraction form
    201,991.80/302,547.06 = 166,533.24/x
  3. Step 3: Cross multiply
    201,991.80x = 302,547.06 × 166,533.24
  4. Step 4: Simplify right side
    201,991.80x = 50,384,142,154.27
  5. Step 5: Solve for x
    x = 50,384,142,154.27/201,991.80
  6. Step 6: Final answer
    x = 249,436.57

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Why These Related Problems?

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