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Finding the Fourth Proportional to 225,266.56, 310,358.06 and 184,916.42

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Solution

The fourth proportional to 225,266.56, 310,358.06 and 184,916.42 is: 254,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,266.56 : 310,358.06 = 184,916.42 : x
  2. Step 2: Convert to fraction form
    225,266.56/310,358.06 = 184,916.42/x
  3. Step 3: Cross multiply
    225,266.56x = 310,358.06 × 184,916.42
  4. Step 4: Simplify right side
    225,266.56x = 57,390,301,373.35
  5. Step 5: Solve for x
    x = 57,390,301,373.35/225,266.56
  6. Step 6: Final answer
    x = 254,766.18

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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.