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Finding the Fourth Proportional to 145,288.66, 200,417.40 and 135,013.67

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Solution

The fourth proportional to 145,288.66, 200,417.40 and 135,013.67 is: 186,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,288.66 : 200,417.40 = 135,013.67 : x
  2. Step 2: Convert to fraction form
    145,288.66/200,417.40 = 135,013.67/x
  3. Step 3: Cross multiply
    145,288.66x = 200,417.40 × 135,013.67
  4. Step 4: Simplify right side
    145,288.66x = 27,059,088,705.86
  5. Step 5: Solve for x
    x = 27,059,088,705.86/145,288.66
  6. Step 6: Final answer
    x = 186,243.64

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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.