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Finding the Fourth Proportional to 292,018.50, 402,985.35 and 164,693.79

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Solution

The fourth proportional to 292,018.50, 402,985.35 and 164,693.79 is: 227,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,018.50 : 402,985.35 = 164,693.79 : x
  2. Step 2: Convert to fraction form
    292,018.50/402,985.35 = 164,693.79/x
  3. Step 3: Cross multiply
    292,018.50x = 402,985.35 × 164,693.79
  4. Step 4: Simplify right side
    292,018.50x = 66,369,184,605.98
  5. Step 5: Solve for x
    x = 66,369,184,605.98/292,018.50
  6. Step 6: Final answer
    x = 227,277.33

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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.