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Finding the Fourth Proportional to 306,888.98, 460,038.17 and 157,199.76

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Solution

The fourth proportional to 306,888.98, 460,038.17 and 157,199.76 is: 235,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,888.98 : 460,038.17 = 157,199.76 : x
  2. Step 2: Convert to fraction form
    306,888.98/460,038.17 = 157,199.76/x
  3. Step 3: Cross multiply
    306,888.98x = 460,038.17 × 157,199.76
  4. Step 4: Simplify right side
    306,888.98x = 72,317,890,307.84
  5. Step 5: Solve for x
    x = 72,317,890,307.84/306,888.98
  6. Step 6: Final answer
    x = 235,648.38

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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.