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Finding the Fourth Proportional to 102,223.74, 141,068.74 and 56,900.76

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Solution

The fourth proportional to 102,223.74, 141,068.74 and 56,900.76 is: 78,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,223.74 : 141,068.74 = 56,900.76 : x
  2. Step 2: Convert to fraction form
    102,223.74/141,068.74 = 56,900.76/x
  3. Step 3: Cross multiply
    102,223.74x = 141,068.74 × 56,900.76
  4. Step 4: Simplify right side
    102,223.74x = 8,026,918,518.24
  5. Step 5: Solve for x
    x = 8,026,918,518.24/102,223.74
  6. Step 6: Final answer
    x = 78,523.04

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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.