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Finding the Fourth Proportional to 351,762.16, 527,658 and 102,444.16

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Solution

The fourth proportional to 351,762.16, 527,658 and 102,444.16 is: 153,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,762.16 : 527,658 = 102,444.16 : x
  2. Step 2: Convert to fraction form
    351,762.16/527,658 = 102,444.16/x
  3. Step 3: Cross multiply
    351,762.16x = 527,658 × 102,444.16
  4. Step 4: Simplify right side
    351,762.16x = 54,055,480,577.28
  5. Step 5: Solve for x
    x = 54,055,480,577.28/351,762.16
  6. Step 6: Final answer
    x = 153,670.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.