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Finding the Fourth Proportional to 357,747.84, 536,605.76 and 105,018.24

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Solution

The fourth proportional to 357,747.84, 536,605.76 and 105,018.24 is: 157,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,747.84 : 536,605.76 = 105,018.24 : x
  2. Step 2: Convert to fraction form
    357,747.84/536,605.76 = 105,018.24/x
  3. Step 3: Cross multiply
    357,747.84x = 536,605.76 × 105,018.24
  4. Step 4: Simplify right side
    357,747.84x = 56,353,392,489.06
  5. Step 5: Solve for x
    x = 56,353,392,489.06/357,747.84
  6. Step 6: Final answer
    x = 157,522.66

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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.