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Finding the Fourth Proportional to 357,984, 537,027.84 and 108,666.24

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Solution

The fourth proportional to 357,984, 537,027.84 and 108,666.24 is: 163,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,984 : 537,027.84 = 108,666.24 : x
  2. Step 2: Convert to fraction form
    357,984/537,027.84 = 108,666.24/x
  3. Step 3: Cross multiply
    357,984x = 537,027.84 × 108,666.24
  4. Step 4: Simplify right side
    357,984x = 58,356,796,148.12
  5. Step 5: Solve for x
    x = 58,356,796,148.12/357,984
  6. Step 6: Final answer
    x = 163,015.10

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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.