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Finding the Fourth Proportional to 102,149.70, 153,284.58 and 42,980.82

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Solution

The fourth proportional to 102,149.70, 153,284.58 and 42,980.82 is: 64,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,149.70 : 153,284.58 = 42,980.82 : x
  2. Step 2: Convert to fraction form
    102,149.70/153,284.58 = 42,980.82/x
  3. Step 3: Cross multiply
    102,149.70x = 153,284.58 × 42,980.82
  4. Step 4: Simplify right side
    102,149.70x = 6,588,296,941.76
  5. Step 5: Solve for x
    x = 6,588,296,941.76/102,149.70
  6. Step 6: Final answer
    x = 64,496.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.