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Finding the Fourth Proportional to 292,024, 402,992.93 and 164,699.30

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Solution

The fourth proportional to 292,024, 402,992.93 and 164,699.30 is: 227,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,024 : 402,992.93 = 164,699.30 : x
  2. Step 2: Convert to fraction form
    292,024/402,992.93 = 164,699.30/x
  3. Step 3: Cross multiply
    292,024x = 402,992.93 × 164,699.30
  4. Step 4: Simplify right side
    292,024x = 66,372,653,475.95
  5. Step 5: Solve for x
    x = 66,372,653,475.95/292,024
  6. Step 6: Final answer
    x = 227,284.93

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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.