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Finding the Fourth Proportional to 201,769.40, 302,945.70 and 152,197.40

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Solution

The fourth proportional to 201,769.40, 302,945.70 and 152,197.40 is: 228,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769.40 : 302,945.70 = 152,197.40 : x
  2. Step 2: Convert to fraction form
    201,769.40/302,945.70 = 152,197.40/x
  3. Step 3: Cross multiply
    201,769.40x = 302,945.70 × 152,197.40
  4. Step 4: Simplify right side
    201,769.40x = 46,107,547,881.18
  5. Step 5: Solve for x
    x = 46,107,547,881.18/201,769.40
  6. Step 6: Final answer
    x = 228,516.06

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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.