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Finding the Fourth Proportional to 224,946.23, 310,224.62 and 186,645.03

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Solution

The fourth proportional to 224,946.23, 310,224.62 and 186,645.03 is: 257,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,946.23 : 310,224.62 = 186,645.03 : x
  2. Step 2: Convert to fraction form
    224,946.23/310,224.62 = 186,645.03/x
  3. Step 3: Cross multiply
    224,946.23x = 310,224.62 × 186,645.03
  4. Step 4: Simplify right side
    224,946.23x = 57,901,883,506.64
  5. Step 5: Solve for x
    x = 57,901,883,506.64/224,946.23
  6. Step 6: Final answer
    x = 257,403.22

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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.