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Finding the Fourth Proportional to 272,541, 375,784.80 and 186,541.40

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Solution

The fourth proportional to 272,541, 375,784.80 and 186,541.40 is: 257,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,541 : 375,784.80 = 186,541.40 : x
  2. Step 2: Convert to fraction form
    272,541/375,784.80 = 186,541.40/x
  3. Step 3: Cross multiply
    272,541x = 375,784.80 × 186,541.40
  4. Step 4: Simplify right side
    272,541x = 70,099,422,690.72
  5. Step 5: Solve for x
    x = 70,099,422,690.72/272,541
  6. Step 6: Final answer
    x = 257,206.89

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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.