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Finding the Fourth Proportional to 264,457.45, 364,899.95 and 157,061.17

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Solution

The fourth proportional to 264,457.45, 364,899.95 and 157,061.17 is: 216,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,457.45 : 364,899.95 = 157,061.17 : x
  2. Step 2: Convert to fraction form
    264,457.45/364,899.95 = 157,061.17/x
  3. Step 3: Cross multiply
    264,457.45x = 364,899.95 × 157,061.17
  4. Step 4: Simplify right side
    264,457.45x = 57,311,613,079.94
  5. Step 5: Solve for x
    x = 57,311,613,079.94/264,457.45
  6. Step 6: Final answer
    x = 216,713.93

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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.