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Finding the Fourth Proportional to 210,242.16, 290,089.76 and 133,733.40

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Solution

The fourth proportional to 210,242.16, 290,089.76 and 133,733.40 is: 184,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,242.16 : 290,089.76 = 133,733.40 : x
  2. Step 2: Convert to fraction form
    210,242.16/290,089.76 = 133,733.40/x
  3. Step 3: Cross multiply
    210,242.16x = 290,089.76 × 133,733.40
  4. Step 4: Simplify right side
    210,242.16x = 38,794,689,909.98
  5. Step 5: Solve for x
    x = 38,794,689,909.98/210,242.16
  6. Step 6: Final answer
    x = 184,523.84

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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.