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Finding the Fourth Proportional to 210,332.64, 290,266.32 and 119,702.16

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Solution

The fourth proportional to 210,332.64, 290,266.32 and 119,702.16 is: 165,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,332.64 : 290,266.32 = 119,702.16 : x
  2. Step 2: Convert to fraction form
    210,332.64/290,266.32 = 119,702.16/x
  3. Step 3: Cross multiply
    210,332.64x = 290,266.32 × 119,702.16
  4. Step 4: Simplify right side
    210,332.64x = 34,745,505,479.25
  5. Step 5: Solve for x
    x = 34,745,505,479.25/210,332.64
  6. Step 6: Final answer
    x = 165,193.12

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