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Finding the Fourth Proportional to 264,281.94, 396,303.83 and 157,715.10

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Solution

The fourth proportional to 264,281.94, 396,303.83 and 157,715.10 is: 236,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,281.94 : 396,303.83 = 157,715.10 : x
  2. Step 2: Convert to fraction form
    264,281.94/396,303.83 = 157,715.10/x
  3. Step 3: Cross multiply
    264,281.94x = 396,303.83 × 157,715.10
  4. Step 4: Simplify right side
    264,281.94x = 62,503,097,390.26
  5. Step 5: Solve for x
    x = 62,503,097,390.26/264,281.94
  6. Step 6: Final answer
    x = 236,501.58

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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.