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Finding the Fourth Proportional to 212,085.81, 292,684.01 and 116,594.91

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Solution

The fourth proportional to 212,085.81, 292,684.01 and 116,594.91 is: 160,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,085.81 : 292,684.01 = 116,594.91 : x
  2. Step 2: Convert to fraction form
    212,085.81/292,684.01 = 116,594.91/x
  3. Step 3: Cross multiply
    212,085.81x = 292,684.01 × 116,594.91
  4. Step 4: Simplify right side
    212,085.81x = 34,125,465,221.41
  5. Step 5: Solve for x
    x = 34,125,465,221.41/212,085.81
  6. Step 6: Final answer
    x = 160,904.05

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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.