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Finding the Fourth Proportional to 162,735.63, 224,526.59 and 105,283.95

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Solution

The fourth proportional to 162,735.63, 224,526.59 and 105,283.95 is: 145,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,735.63 : 224,526.59 = 105,283.95 : x
  2. Step 2: Convert to fraction form
    162,735.63/224,526.59 = 105,283.95/x
  3. Step 3: Cross multiply
    162,735.63x = 224,526.59 × 105,283.95
  4. Step 4: Simplify right side
    162,735.63x = 23,639,045,748.81
  5. Step 5: Solve for x
    x = 23,639,045,748.81/162,735.63
  6. Step 6: Final answer
    x = 145,260.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.