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Finding the Fourth Proportional to 134,459, 201,712.52 and 45,707.84

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Solution

The fourth proportional to 134,459, 201,712.52 and 45,707.84 is: 68,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,459 : 201,712.52 = 45,707.84 : x
  2. Step 2: Convert to fraction form
    134,459/201,712.52 = 45,707.84/x
  3. Step 3: Cross multiply
    134,459x = 201,712.52 × 45,707.84
  4. Step 4: Simplify right side
    134,459x = 9,219,843,590.16
  5. Step 5: Solve for x
    x = 9,219,843,590.16/134,459
  6. Step 6: Final answer
    x = 68,569.93

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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.