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Finding the Fourth Proportional to 264,492, 365,032.24 and 163,905.12

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Solution

The fourth proportional to 264,492, 365,032.24 and 163,905.12 is: 226,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,492 : 365,032.24 = 163,905.12 : x
  2. Step 2: Convert to fraction form
    264,492/365,032.24 = 163,905.12/x
  3. Step 3: Cross multiply
    264,492x = 365,032.24 × 163,905.12
  4. Step 4: Simplify right side
    264,492x = 59,830,653,101.07
  5. Step 5: Solve for x
    x = 59,830,653,101.07/264,492
  6. Step 6: Final answer
    x = 226,209.69

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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.