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Finding the Fourth Proportional to 224,858.56, 310,301 and 122,881.76

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Solution

The fourth proportional to 224,858.56, 310,301 and 122,881.76 is: 169,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,858.56 : 310,301 = 122,881.76 : x
  2. Step 2: Convert to fraction form
    224,858.56/310,301 = 122,881.76/x
  3. Step 3: Cross multiply
    224,858.56x = 310,301 × 122,881.76
  4. Step 4: Simplify right side
    224,858.56x = 38,130,333,009.76
  5. Step 5: Solve for x
    x = 38,130,333,009.76/224,858.56
  6. Step 6: Final answer
    x = 169,574.75

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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.