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Finding the Fourth Proportional to 312,528.63, 468,825.89 and 102,166.23

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Solution

The fourth proportional to 312,528.63, 468,825.89 and 102,166.23 is: 153,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,528.63 : 468,825.89 = 102,166.23 : x
  2. Step 2: Convert to fraction form
    312,528.63/468,825.89 = 102,166.23/x
  3. Step 3: Cross multiply
    312,528.63x = 468,825.89 × 102,166.23
  4. Step 4: Simplify right side
    312,528.63x = 47,898,173,707.69
  5. Step 5: Solve for x
    x = 47,898,173,707.69/312,528.63
  6. Step 6: Final answer
    x = 153,260.11

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1.5x scale

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.