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Finding the Fourth Proportional to 145,598.01, 200,894.24 and 85,156.84

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Solution

The fourth proportional to 145,598.01, 200,894.24 and 85,156.84 is: 117,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,598.01 : 200,894.24 = 85,156.84 : x
  2. Step 2: Convert to fraction form
    145,598.01/200,894.24 = 85,156.84/x
  3. Step 3: Cross multiply
    145,598.01x = 200,894.24 × 85,156.84
  4. Step 4: Simplify right side
    145,598.01x = 17,107,519,116.61
  5. Step 5: Solve for x
    x = 17,107,519,116.61/145,598.01
  6. Step 6: Final answer
    x = 117,498.31

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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.