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Finding the Fourth Proportional to 211,776.66, 292,256.51 and 116,283.74

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Solution

The fourth proportional to 211,776.66, 292,256.51 and 116,283.74 is: 160,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,776.66 : 292,256.51 = 116,283.74 : x
  2. Step 2: Convert to fraction form
    211,776.66/292,256.51 = 116,283.74/x
  3. Step 3: Cross multiply
    211,776.66x = 292,256.51 × 116,283.74
  4. Step 4: Simplify right side
    211,776.66x = 33,984,677,979.45
  5. Step 5: Solve for x
    x = 33,984,677,979.45/211,776.66
  6. Step 6: Final answer
    x = 160,474.14

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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.