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Finding the Fourth Proportional to 357,823.62, 536,602.59 and 105,034.50

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Solution

The fourth proportional to 357,823.62, 536,602.59 and 105,034.50 is: 157,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,823.62 : 536,602.59 = 105,034.50 : x
  2. Step 2: Convert to fraction form
    357,823.62/536,602.59 = 105,034.50/x
  3. Step 3: Cross multiply
    357,823.62x = 536,602.59 × 105,034.50
  4. Step 4: Simplify right side
    357,823.62x = 56,361,784,739.36
  5. Step 5: Solve for x
    x = 56,361,784,739.36/357,823.62
  6. Step 6: Final answer
    x = 157,512.76

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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.