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Finding the Fourth Proportional to 153,056.74, 211,208.04 and 85,069.30

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Solution

The fourth proportional to 153,056.74, 211,208.04 and 85,069.30 is: 117,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,056.74 : 211,208.04 = 85,069.30 : x
  2. Step 2: Convert to fraction form
    153,056.74/211,208.04 = 85,069.30/x
  3. Step 3: Cross multiply
    153,056.74x = 211,208.04 × 85,069.30
  4. Step 4: Simplify right side
    153,056.74x = 17,967,320,117.17
  5. Step 5: Solve for x
    x = 17,967,320,117.17/153,056.74
  6. Step 6: Final answer
    x = 117,389.93

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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.