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Finding the Fourth Proportional to 106,457.90, 146,909.90 and 58,715.78

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Solution

The fourth proportional to 106,457.90, 146,909.90 and 58,715.78 is: 81,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,457.90 : 146,909.90 = 58,715.78 : x
  2. Step 2: Convert to fraction form
    106,457.90/146,909.90 = 58,715.78/x
  3. Step 3: Cross multiply
    106,457.90x = 146,909.90 × 58,715.78
  4. Step 4: Simplify right side
    106,457.90x = 8,625,929,368.22
  5. Step 5: Solve for x
    x = 8,625,929,368.22/106,457.90
  6. Step 6: Final answer
    x = 81,026.67

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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.