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Finding the Fourth Proportional to 264,490, 365,029.48 and 163,903.12

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Solution

The fourth proportional to 264,490, 365,029.48 and 163,903.12 is: 226,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,490 : 365,029.48 = 163,903.12 : x
  2. Step 2: Convert to fraction form
    264,490/365,029.48 = 163,903.12/x
  3. Step 3: Cross multiply
    264,490x = 365,029.48 × 163,903.12
  4. Step 4: Simplify right side
    264,490x = 59,829,470,663.98
  5. Step 5: Solve for x
    x = 59,829,470,663.98/264,490
  6. Step 6: Final answer
    x = 226,206.93

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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.