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Finding the Fourth Proportional to 292,106.57, 402,854.72 and 190,095.32

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Solution

The fourth proportional to 292,106.57, 402,854.72 and 190,095.32 is: 262,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,106.57 : 402,854.72 = 190,095.32 : x
  2. Step 2: Convert to fraction form
    292,106.57/402,854.72 = 190,095.32/x
  3. Step 3: Cross multiply
    292,106.57x = 402,854.72 × 190,095.32
  4. Step 4: Simplify right side
    292,106.57x = 76,580,796,968.57
  5. Step 5: Solve for x
    x = 76,580,796,968.57/292,106.57
  6. Step 6: Final answer
    x = 262,167.32

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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.