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Finding the Fourth Proportional to 227,565.80, 314,030.15 and 130,701.51

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Solution

The fourth proportional to 227,565.80, 314,030.15 and 130,701.51 is: 180,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,565.80 : 314,030.15 = 130,701.51 : x
  2. Step 2: Convert to fraction form
    227,565.80/314,030.15 = 130,701.51/x
  3. Step 3: Cross multiply
    227,565.80x = 314,030.15 × 130,701.51
  4. Step 4: Simplify right side
    227,565.80x = 41,044,214,137.02
  5. Step 5: Solve for x
    x = 41,044,214,137.02/227,565.80
  6. Step 6: Final answer
    x = 180,361.97

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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.