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Finding the Fourth Proportional to 228,058.07, 314,720.51 and 127,456.07

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Solution

The fourth proportional to 228,058.07, 314,720.51 and 127,456.07 is: 175,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,058.07 : 314,720.51 = 127,456.07 : x
  2. Step 2: Convert to fraction form
    228,058.07/314,720.51 = 127,456.07/x
  3. Step 3: Cross multiply
    228,058.07x = 314,720.51 × 127,456.07
  4. Step 4: Simplify right side
    228,058.07x = 40,113,037,142.11
  5. Step 5: Solve for x
    x = 40,113,037,142.11/228,058.07
  6. Step 6: Final answer
    x = 175,889.58

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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.