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Finding the Fourth Proportional to 202,957.52, 304,155.74 and 176,240.07

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Solution

The fourth proportional to 202,957.52, 304,155.74 and 176,240.07 is: 264,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,957.52 : 304,155.74 = 176,240.07 : x
  2. Step 2: Convert to fraction form
    202,957.52/304,155.74 = 176,240.07/x
  3. Step 3: Cross multiply
    202,957.52x = 304,155.74 × 176,240.07
  4. Step 4: Simplify right side
    202,957.52x = 53,604,429,349.10
  5. Step 5: Solve for x
    x = 53,604,429,349.10/202,957.52
  6. Step 6: Final answer
    x = 264,116.50

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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.