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Finding the Fourth Proportional to 224,701.16, 310,085.70 and 124,097

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Solution

The fourth proportional to 224,701.16, 310,085.70 and 124,097 is: 171,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,701.16 : 310,085.70 = 124,097 : x
  2. Step 2: Convert to fraction form
    224,701.16/310,085.70 = 124,097/x
  3. Step 3: Cross multiply
    224,701.16x = 310,085.70 × 124,097
  4. Step 4: Simplify right side
    224,701.16x = 38,480,705,112.90
  5. Step 5: Solve for x
    x = 38,480,705,112.90/224,701.16
  6. Step 6: Final answer
    x = 171,252.81

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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.