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Finding the Fourth Proportional to 210,566.17, 290,088.70 and 146,790.01

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Solution

The fourth proportional to 210,566.17, 290,088.70 and 146,790.01 is: 202,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,566.17 : 290,088.70 = 146,790.01 : x
  2. Step 2: Convert to fraction form
    210,566.17/290,088.70 = 146,790.01/x
  3. Step 3: Cross multiply
    210,566.17x = 290,088.70 × 146,790.01
  4. Step 4: Simplify right side
    210,566.17x = 42,582,123,173.89
  5. Step 5: Solve for x
    x = 42,582,123,173.89/210,566.17
  6. Step 6: Final answer
    x = 202,226.80

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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.