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Finding the Fourth Proportional to 114,508.60, 157,909.30 and 105,457.44

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Solution

The fourth proportional to 114,508.60, 157,909.30 and 105,457.44 is: 145,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,508.60 : 157,909.30 = 105,457.44 : x
  2. Step 2: Convert to fraction form
    114,508.60/157,909.30 = 105,457.44/x
  3. Step 3: Cross multiply
    114,508.60x = 157,909.30 × 105,457.44
  4. Step 4: Simplify right side
    114,508.60x = 16,652,710,530.19
  5. Step 5: Solve for x
    x = 16,652,710,530.19/114,508.60
  6. Step 6: Final answer
    x = 145,427.60

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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.