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Finding the Fourth Proportional to 188,032.40, 282,509.40 and 141,376.40

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Solution

The fourth proportional to 188,032.40, 282,509.40 and 141,376.40 is: 212,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,032.40 : 282,509.40 = 141,376.40 : x
  2. Step 2: Convert to fraction form
    188,032.40/282,509.40 = 141,376.40/x
  3. Step 3: Cross multiply
    188,032.40x = 282,509.40 × 141,376.40
  4. Step 4: Simplify right side
    188,032.40x = 39,940,161,938.16
  5. Step 5: Solve for x
    x = 39,940,161,938.16/188,032.40
  6. Step 6: Final answer
    x = 212,411.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.