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Finding the Fourth Proportional to 292,245.76, 438,210.69 and 102,657.16

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Solution

The fourth proportional to 292,245.76, 438,210.69 and 102,657.16 is: 153,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,245.76 : 438,210.69 = 102,657.16 : x
  2. Step 2: Convert to fraction form
    292,245.76/438,210.69 = 102,657.16/x
  3. Step 3: Cross multiply
    292,245.76x = 438,210.69 × 102,657.16
  4. Step 4: Simplify right side
    292,245.76x = 44,985,464,917.04
  5. Step 5: Solve for x
    x = 44,985,464,917.04/292,245.76
  6. Step 6: Final answer
    x = 153,930.26

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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.