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Finding the Fourth Proportional to 201,002.49, 277,384.00 and 110,364.33

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Solution

The fourth proportional to 201,002.49, 277,384.00 and 110,364.33 is: 152,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,002.49 : 277,384.00 = 110,364.33 : x
  2. Step 2: Convert to fraction form
    201,002.49/277,384.00 = 110,364.33/x
  3. Step 3: Cross multiply
    201,002.49x = 277,384.00 × 110,364.33
  4. Step 4: Simplify right side
    201,002.49x = 30,613,298,343.35
  5. Step 5: Solve for x
    x = 30,613,298,343.35/201,002.49
  6. Step 6: Final answer
    x = 152,303.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.