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Finding the Fourth Proportional to 280,030.60, 420,045.90 and 102,543.40

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Solution

The fourth proportional to 280,030.60, 420,045.90 and 102,543.40 is: 153,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,030.60 : 420,045.90 = 102,543.40 : x
  2. Step 2: Convert to fraction form
    280,030.60/420,045.90 = 102,543.40/x
  3. Step 3: Cross multiply
    280,030.60x = 420,045.90 × 102,543.40
  4. Step 4: Simplify right side
    280,030.60x = 43,072,934,742.06
  5. Step 5: Solve for x
    x = 43,072,934,742.06/280,030.60
  6. Step 6: Final answer
    x = 153,815.10

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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.