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Finding the Fourth Proportional to 287,495.95, 396,744.83 and 160,176.01

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Solution

The fourth proportional to 287,495.95, 396,744.83 and 160,176.01 is: 221,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,495.95 : 396,744.83 = 160,176.01 : x
  2. Step 2: Convert to fraction form
    287,495.95/396,744.83 = 160,176.01/x
  3. Step 3: Cross multiply
    287,495.95x = 396,744.83 × 160,176.01
  4. Step 4: Simplify right side
    287,495.95x = 63,549,003,857.53
  5. Step 5: Solve for x
    x = 63,549,003,857.53/287,495.95
  6. Step 6: Final answer
    x = 221,043.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.