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Finding the Fourth Proportional to 208,303.32, 287,458.26 and 112,810.38

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Solution

The fourth proportional to 208,303.32, 287,458.26 and 112,810.38 is: 155,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,303.32 : 287,458.26 = 112,810.38 : x
  2. Step 2: Convert to fraction form
    208,303.32/287,458.26 = 112,810.38/x
  3. Step 3: Cross multiply
    208,303.32x = 287,458.26 × 112,810.38
  4. Step 4: Simplify right side
    208,303.32x = 32,428,275,544.74
  5. Step 5: Solve for x
    x = 32,428,275,544.74/208,303.32
  6. Step 6: Final answer
    x = 155,678.15

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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.