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Finding the Fourth Proportional to 145,443.96, 200,547.18 and 102,409.70

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Solution

The fourth proportional to 145,443.96, 200,547.18 and 102,409.70 is: 141,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,443.96 : 200,547.18 = 102,409.70 : x
  2. Step 2: Convert to fraction form
    145,443.96/200,547.18 = 102,409.70/x
  3. Step 3: Cross multiply
    145,443.96x = 200,547.18 × 102,409.70
  4. Step 4: Simplify right side
    145,443.96x = 20,537,976,539.65
  5. Step 5: Solve for x
    x = 20,537,976,539.65/145,443.96
  6. Step 6: Final answer
    x = 141,208.87

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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.