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Finding the Fourth Proportional to 136,457.40, 204,839.70 and 105,430.20

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Solution

The fourth proportional to 136,457.40, 204,839.70 and 105,430.20 is: 158,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,457.40 : 204,839.70 = 105,430.20 : x
  2. Step 2: Convert to fraction form
    136,457.40/204,839.70 = 105,430.20/x
  3. Step 3: Cross multiply
    136,457.40x = 204,839.70 × 105,430.20
  4. Step 4: Simplify right side
    136,457.40x = 21,596,290,538.94
  5. Step 5: Solve for x
    x = 21,596,290,538.94/136,457.40
  6. Step 6: Final answer
    x = 158,263.97

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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.