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Finding the Fourth Proportional to 152,786, 229,271.16 and 65,234

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Solution

The fourth proportional to 152,786, 229,271.16 and 65,234 is: 97,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,786 : 229,271.16 = 65,234 : x
  2. Step 2: Convert to fraction form
    152,786/229,271.16 = 65,234/x
  3. Step 3: Cross multiply
    152,786x = 229,271.16 × 65,234
  4. Step 4: Simplify right side
    152,786x = 14,956,274,851.44
  5. Step 5: Solve for x
    x = 14,956,274,851.44/152,786
  6. Step 6: Final answer
    x = 97,890.35

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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.