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Finding the Fourth Proportional to 170,769.40, 256,154.10 and 77,457.40

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Solution

The fourth proportional to 170,769.40, 256,154.10 and 77,457.40 is: 116,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,769.40 : 256,154.10 = 77,457.40 : x
  2. Step 2: Convert to fraction form
    170,769.40/256,154.10 = 77,457.40/x
  3. Step 3: Cross multiply
    170,769.40x = 256,154.10 × 77,457.40
  4. Step 4: Simplify right side
    170,769.40x = 19,841,030,585.34
  5. Step 5: Solve for x
    x = 19,841,030,585.34/170,769.40
  6. Step 6: Final answer
    x = 116,186.10

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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.