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Finding the Fourth Proportional to 153,584.81, 211,948.02 and 85,606.10

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Solution

The fourth proportional to 153,584.81, 211,948.02 and 85,606.10 is: 118,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,584.81 : 211,948.02 = 85,606.10 : x
  2. Step 2: Convert to fraction form
    153,584.81/211,948.02 = 85,606.10/x
  3. Step 3: Cross multiply
    153,584.81x = 211,948.02 × 85,606.10
  4. Step 4: Simplify right side
    153,584.81x = 18,144,042,335.18
  5. Step 5: Solve for x
    x = 18,144,042,335.18/153,584.81
  6. Step 6: Final answer
    x = 118,136.96

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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.