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Finding the Fourth Proportional to 134,457, 201,709.52 and 45,705.84

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Solution

The fourth proportional to 134,457, 201,709.52 and 45,705.84 is: 68,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,457 : 201,709.52 = 45,705.84 : x
  2. Step 2: Convert to fraction form
    134,457/201,709.52 = 45,705.84/x
  3. Step 3: Cross multiply
    134,457x = 201,709.52 × 45,705.84
  4. Step 4: Simplify right side
    134,457x = 9,219,303,047.60
  5. Step 5: Solve for x
    x = 9,219,303,047.60/134,457
  6. Step 6: Final answer
    x = 68,566.93

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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.