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Finding the Fourth Proportional to 280,047.60, 420,071.40 and 93,059.10

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Solution

The fourth proportional to 280,047.60, 420,071.40 and 93,059.10 is: 139,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,047.60 : 420,071.40 = 93,059.10 : x
  2. Step 2: Convert to fraction form
    280,047.60/420,071.40 = 93,059.10/x
  3. Step 3: Cross multiply
    280,047.60x = 420,071.40 × 93,059.10
  4. Step 4: Simplify right side
    280,047.60x = 39,091,466,419.74
  5. Step 5: Solve for x
    x = 39,091,466,419.74/280,047.60
  6. Step 6: Final answer
    x = 139,588.65

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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.