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Finding the Fourth Proportional to 242,833.98, 335,322.38 and 152,345.50

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Solution

The fourth proportional to 242,833.98, 335,322.38 and 152,345.50 is: 210,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,833.98 : 335,322.38 = 152,345.50 : x
  2. Step 2: Convert to fraction form
    242,833.98/335,322.38 = 152,345.50/x
  3. Step 3: Cross multiply
    242,833.98x = 335,322.38 × 152,345.50
  4. Step 4: Simplify right side
    242,833.98x = 51,084,855,642.29
  5. Step 5: Solve for x
    x = 51,084,855,642.29/242,833.98
  6. Step 6: Final answer
    x = 210,369.47

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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.