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Finding the Fourth Proportional to 228,137.51, 314,823.81 and 126,160.13

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Solution

The fourth proportional to 228,137.51, 314,823.81 and 126,160.13 is: 174,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,137.51 : 314,823.81 = 126,160.13 : x
  2. Step 2: Convert to fraction form
    228,137.51/314,823.81 = 126,160.13/x
  3. Step 3: Cross multiply
    228,137.51x = 314,823.81 × 126,160.13
  4. Step 4: Simplify right side
    228,137.51x = 39,718,214,056.86
  5. Step 5: Solve for x
    x = 39,718,214,056.86/228,137.51
  6. Step 6: Final answer
    x = 174,097.69

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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.