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Finding the Fourth Proportional to 265,566.92, 366,477.72 and 144,709.16

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Solution

The fourth proportional to 265,566.92, 366,477.72 and 144,709.16 is: 199,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,566.92 : 366,477.72 = 144,709.16 : x
  2. Step 2: Convert to fraction form
    265,566.92/366,477.72 = 144,709.16/x
  3. Step 3: Cross multiply
    265,566.92x = 366,477.72 × 144,709.16
  4. Step 4: Simplify right side
    265,566.92x = 53,032,683,019.92
  5. Step 5: Solve for x
    x = 53,032,683,019.92/265,566.92
  6. Step 6: Final answer
    x = 199,696.12

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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.