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Finding the Fourth Proportional to 292,160.71, 403,173.61 and 164,848.15

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Solution

The fourth proportional to 292,160.71, 403,173.61 and 164,848.15 is: 227,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,160.71 : 403,173.61 = 164,848.15 : x
  2. Step 2: Convert to fraction form
    292,160.71/403,173.61 = 164,848.15/x
  3. Step 3: Cross multiply
    292,160.71x = 403,173.61 × 164,848.15
  4. Step 4: Simplify right side
    292,160.71x = 66,462,423,737.32
  5. Step 5: Solve for x
    x = 66,462,423,737.32/292,160.71
  6. Step 6: Final answer
    x = 227,485.84

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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.