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Finding the Fourth Proportional to 213,000.02, 293,940 and 117,506.71

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Solution

The fourth proportional to 213,000.02, 293,940 and 117,506.71 is: 162,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,000.02 : 293,940 = 117,506.71 : x
  2. Step 2: Convert to fraction form
    213,000.02/293,940 = 117,506.71/x
  3. Step 3: Cross multiply
    213,000.02x = 293,940 × 117,506.71
  4. Step 4: Simplify right side
    213,000.02x = 34,539,922,337.40
  5. Step 5: Solve for x
    x = 34,539,922,337.40/213,000.02
  6. Step 6: Final answer
    x = 162,159.25

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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.