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Finding the Fourth Proportional to 224,868.69, 310,322.88 and 122,898.48

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Solution

The fourth proportional to 224,868.69, 310,322.88 and 122,898.48 is: 169,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,868.69 : 310,322.88 = 122,898.48 : x
  2. Step 2: Convert to fraction form
    224,868.69/310,322.88 = 122,898.48/x
  3. Step 3: Cross multiply
    224,868.69x = 310,322.88 × 122,898.48
  4. Step 4: Simplify right side
    224,868.69x = 38,138,210,261.22
  5. Step 5: Solve for x
    x = 38,138,210,261.22/224,868.69
  6. Step 6: Final answer
    x = 169,602.14

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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.