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Finding the Fourth Proportional to 358,506.48, 537,852.00 and 105,776.76

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Solution

The fourth proportional to 358,506.48, 537,852.00 and 105,776.76 is: 158,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,506.48 : 537,852.00 = 105,776.76 : x
  2. Step 2: Convert to fraction form
    358,506.48/537,852.00 = 105,776.76/x
  3. Step 3: Cross multiply
    358,506.48x = 537,852.00 × 105,776.76
  4. Step 4: Simplify right side
    358,506.48x = 56,892,244,333.13
  5. Step 5: Solve for x
    x = 56,892,244,333.13/358,506.48
  6. Step 6: Final answer
    x = 158,692.37

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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.