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Finding the Fourth Proportional to 213,326.50, 294,384.95 and 117,831.15

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Solution

The fourth proportional to 213,326.50, 294,384.95 and 117,831.15 is: 162,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,326.50 : 294,384.95 = 117,831.15 : x
  2. Step 2: Convert to fraction form
    213,326.50/294,384.95 = 117,831.15/x
  3. Step 3: Cross multiply
    213,326.50x = 294,384.95 × 117,831.15
  4. Step 4: Simplify right side
    213,326.50x = 34,687,717,201.19
  5. Step 5: Solve for x
    x = 34,687,717,201.19/213,326.50
  6. Step 6: Final answer
    x = 162,603.88

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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.