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Finding the Fourth Proportional to 196,059, 294,088.50 and 48,315

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Solution

The fourth proportional to 196,059, 294,088.50 and 48,315 is: 72,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,059 : 294,088.50 = 48,315 : x
  2. Step 2: Convert to fraction form
    196,059/294,088.50 = 48,315/x
  3. Step 3: Cross multiply
    196,059x = 294,088.50 × 48,315
  4. Step 4: Simplify right side
    196,059x = 14,208,885,877.50
  5. Step 5: Solve for x
    x = 14,208,885,877.50/196,059
  6. Step 6: Final answer
    x = 72,472.50

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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.