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Finding the Fourth Proportional to 211,707.60, 292,159.80 and 116,223

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Solution

The fourth proportional to 211,707.60, 292,159.80 and 116,223 is: 160,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,707.60 : 292,159.80 = 116,223 : x
  2. Step 2: Convert to fraction form
    211,707.60/292,159.80 = 116,223/x
  3. Step 3: Cross multiply
    211,707.60x = 292,159.80 × 116,223
  4. Step 4: Simplify right side
    211,707.60x = 33,955,688,435.40
  5. Step 5: Solve for x
    x = 33,955,688,435.40/211,707.60
  6. Step 6: Final answer
    x = 160,389.56

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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.