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Finding the Fourth Proportional to 183,670.40, 253,490.74 and 102,017

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Solution

The fourth proportional to 183,670.40, 253,490.74 and 102,017 is: 140,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,670.40 : 253,490.74 = 102,017 : x
  2. Step 2: Convert to fraction form
    183,670.40/253,490.74 = 102,017/x
  3. Step 3: Cross multiply
    183,670.40x = 253,490.74 × 102,017
  4. Step 4: Simplify right side
    183,670.40x = 25,860,364,822.58
  5. Step 5: Solve for x
    x = 25,860,364,822.58/183,670.40
  6. Step 6: Final answer
    x = 140,797.67

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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.