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Finding the Fourth Proportional to 261,212.64, 360,477.72 and 148,032.96

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Solution

The fourth proportional to 261,212.64, 360,477.72 and 148,032.96 is: 204,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,212.64 : 360,477.72 = 148,032.96 : x
  2. Step 2: Convert to fraction form
    261,212.64/360,477.72 = 148,032.96/x
  3. Step 3: Cross multiply
    261,212.64x = 360,477.72 × 148,032.96
  4. Step 4: Simplify right side
    261,212.64x = 53,362,583,905.65
  5. Step 5: Solve for x
    x = 53,362,583,905.65/261,212.64
  6. Step 6: Final answer
    x = 204,287.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.