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Finding the Fourth Proportional to 307,592.54, 461,106.93 and 107,804.02

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Solution

The fourth proportional to 307,592.54, 461,106.93 and 107,804.02 is: 161,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,592.54 : 461,106.93 = 107,804.02 : x
  2. Step 2: Convert to fraction form
    307,592.54/461,106.93 = 107,804.02/x
  3. Step 3: Cross multiply
    307,592.54x = 461,106.93 × 107,804.02
  4. Step 4: Simplify right side
    307,592.54x = 49,709,180,703.86
  5. Step 5: Solve for x
    x = 49,709,180,703.86/307,592.54
  6. Step 6: Final answer
    x = 161,607.24

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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.