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Finding the Fourth Proportional to 287,106.50, 430,663.59 and 90,114.50

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Solution

The fourth proportional to 287,106.50, 430,663.59 and 90,114.50 is: 135,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,106.50 : 430,663.59 = 90,114.50 : x
  2. Step 2: Convert to fraction form
    287,106.50/430,663.59 = 90,114.50/x
  3. Step 3: Cross multiply
    287,106.50x = 430,663.59 × 90,114.50
  4. Step 4: Simplify right side
    287,106.50x = 38,809,034,081.06
  5. Step 5: Solve for x
    x = 38,809,034,081.06/287,106.50
  6. Step 6: Final answer
    x = 135,172.96

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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.