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Finding the Fourth Proportional to 145,810.14, 199,905.67 and 143,152.93

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Solution

The fourth proportional to 145,810.14, 199,905.67 and 143,152.93 is: 196,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,810.14 : 199,905.67 = 143,152.93 : x
  2. Step 2: Convert to fraction form
    145,810.14/199,905.67 = 143,152.93/x
  3. Step 3: Cross multiply
    145,810.14x = 199,905.67 × 143,152.93
  4. Step 4: Simplify right side
    145,810.14x = 28,617,082,384.11
  5. Step 5: Solve for x
    x = 28,617,082,384.11/145,810.14
  6. Step 6: Final answer
    x = 196,262.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.