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Finding the Fourth Proportional to 210,814.95, 290,931.57 and 115,319.46

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Solution

The fourth proportional to 210,814.95, 290,931.57 and 115,319.46 is: 159,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,814.95 : 290,931.57 = 115,319.46 : x
  2. Step 2: Convert to fraction form
    210,814.95/290,931.57 = 115,319.46/x
  3. Step 3: Cross multiply
    210,814.95x = 290,931.57 × 115,319.46
  4. Step 4: Simplify right side
    210,814.95x = 33,550,071,549.35
  5. Step 5: Solve for x
    x = 33,550,071,549.35/210,814.95
  6. Step 6: Final answer
    x = 159,144.65

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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.