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Finding the Fourth Proportional to 202,263.08, 303,437.82 and 77,603

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Solution

The fourth proportional to 202,263.08, 303,437.82 and 77,603 is: 116,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,263.08 : 303,437.82 = 77,603 : x
  2. Step 2: Convert to fraction form
    202,263.08/303,437.82 = 77,603/x
  3. Step 3: Cross multiply
    202,263.08x = 303,437.82 × 77,603
  4. Step 4: Simplify right side
    202,263.08x = 23,547,685,145.46
  5. Step 5: Solve for x
    x = 23,547,685,145.46/202,263.08
  6. Step 6: Final answer
    x = 116,421.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.