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Finding the Fourth Proportional to 371,088, 512,102.43 and 201,322.13

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Solution

The fourth proportional to 371,088, 512,102.43 and 201,322.13 is: 277,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,088 : 512,102.43 = 201,322.13 : x
  2. Step 2: Convert to fraction form
    371,088/512,102.43 = 201,322.13/x
  3. Step 3: Cross multiply
    371,088x = 512,102.43 × 201,322.13
  4. Step 4: Simplify right side
    371,088x = 103,097,549,425.26
  5. Step 5: Solve for x
    x = 103,097,549,425.26/371,088
  6. Step 6: Final answer
    x = 277,825.07

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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.