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Finding the Fourth Proportional to 209,851.93, 289,594.71 and 114,358.60

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Solution

The fourth proportional to 209,851.93, 289,594.71 and 114,358.60 is: 157,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,851.93 : 289,594.71 = 114,358.60 : x
  2. Step 2: Convert to fraction form
    209,851.93/289,594.71 = 114,358.60/x
  3. Step 3: Cross multiply
    209,851.93x = 289,594.71 × 114,358.60
  4. Step 4: Simplify right side
    209,851.93x = 33,117,645,603.01
  5. Step 5: Solve for x
    x = 33,117,645,603.01/209,851.93
  6. Step 6: Final answer
    x = 157,814.35

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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.