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Finding the Fourth Proportional to 228,223.76, 314,963.24 and 127,622.16

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Solution

The fourth proportional to 228,223.76, 314,963.24 and 127,622.16 is: 176,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,223.76 : 314,963.24 = 127,622.16 : x
  2. Step 2: Convert to fraction form
    228,223.76/314,963.24 = 127,622.16/x
  3. Step 3: Cross multiply
    228,223.76x = 314,963.24 × 127,622.16
  4. Step 4: Simplify right side
    228,223.76x = 40,196,289,009.40
  5. Step 5: Solve for x
    x = 40,196,289,009.40/228,223.76
  6. Step 6: Final answer
    x = 176,126.66

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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.