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Finding the Fourth Proportional to 151,668.57, 209,303.75 and 83,688.05

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Solution

The fourth proportional to 151,668.57, 209,303.75 and 83,688.05 is: 115,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,668.57 : 209,303.75 = 83,688.05 : x
  2. Step 2: Convert to fraction form
    151,668.57/209,303.75 = 83,688.05/x
  3. Step 3: Cross multiply
    151,668.57x = 209,303.75 × 83,688.05
  4. Step 4: Simplify right side
    151,668.57x = 17,516,222,800.01
  5. Step 5: Solve for x
    x = 17,516,222,800.01/151,668.57
  6. Step 6: Final answer
    x = 115,490.13

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1.5x scale

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.