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Finding the Fourth Proportional to 266,476.51, 367,733.10 and 145,615.02

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Solution

The fourth proportional to 266,476.51, 367,733.10 and 145,615.02 is: 200,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,476.51 : 367,733.10 = 145,615.02 : x
  2. Step 2: Convert to fraction form
    266,476.51/367,733.10 = 145,615.02/x
  3. Step 3: Cross multiply
    266,476.51x = 367,733.10 × 145,615.02
  4. Step 4: Simplify right side
    266,476.51x = 53,547,462,711.16
  5. Step 5: Solve for x
    x = 53,547,462,711.16/266,476.51
  6. Step 6: Final answer
    x = 200,946.28

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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.