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Finding the Fourth Proportional to 196,641, 294,962.58 and 48,897

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Solution

The fourth proportional to 196,641, 294,962.58 and 48,897 is: 73,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,641 : 294,962.58 = 48,897 : x
  2. Step 2: Convert to fraction form
    196,641/294,962.58 = 48,897/x
  3. Step 3: Cross multiply
    196,641x = 294,962.58 × 48,897
  4. Step 4: Simplify right side
    196,641x = 14,422,785,274.26
  5. Step 5: Solve for x
    x = 14,422,785,274.26/196,641
  6. Step 6: Final answer
    x = 73,345.77

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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.