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Finding the Fourth Proportional to 213,303.47, 294,333.59 and 117,804.47

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Solution

The fourth proportional to 213,303.47, 294,333.59 and 117,804.47 is: 162,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,303.47 : 294,333.59 = 117,804.47 : x
  2. Step 2: Convert to fraction form
    213,303.47/294,333.59 = 117,804.47/x
  3. Step 3: Cross multiply
    213,303.47x = 294,333.59 × 117,804.47
  4. Step 4: Simplify right side
    213,303.47x = 34,673,810,512.46
  5. Step 5: Solve for x
    x = 34,673,810,512.46/213,303.47
  6. Step 6: Final answer
    x = 162,556.25

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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.