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Finding the Fourth Proportional to 224,834.32, 310,267.63 and 122,857.60

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Solution

The fourth proportional to 224,834.32, 310,267.63 and 122,857.60 is: 169,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,834.32 : 310,267.63 = 122,857.60 : x
  2. Step 2: Convert to fraction form
    224,834.32/310,267.63 = 122,857.60/x
  3. Step 3: Cross multiply
    224,834.32x = 310,267.63 × 122,857.60
  4. Step 4: Simplify right side
    224,834.32x = 38,118,736,379.49
  5. Step 5: Solve for x
    x = 38,118,736,379.49/224,834.32
  6. Step 6: Final answer
    x = 169,541.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.