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Finding the Fourth Proportional to 227,878.48, 314,484.28 and 137,262.84

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Solution

The fourth proportional to 227,878.48, 314,484.28 and 137,262.84 is: 189,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,878.48 : 314,484.28 = 137,262.84 : x
  2. Step 2: Convert to fraction form
    227,878.48/314,484.28 = 137,262.84/x
  3. Step 3: Cross multiply
    227,878.48x = 314,484.28 × 137,262.84
  4. Step 4: Simplify right side
    227,878.48x = 43,167,005,408.16
  5. Step 5: Solve for x
    x = 43,167,005,408.16/227,878.48
  6. Step 6: Final answer
    x = 189,429.93

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1.5x scale

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.