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Finding the Fourth Proportional to 208,477.51, 287,698.98 and 112,984.18

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Solution

The fourth proportional to 208,477.51, 287,698.98 and 112,984.18 is: 155,918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,477.51 : 287,698.98 = 112,984.18 : x
  2. Step 2: Convert to fraction form
    208,477.51/287,698.98 = 112,984.18/x
  3. Step 3: Cross multiply
    208,477.51x = 287,698.98 × 112,984.18
  4. Step 4: Simplify right side
    208,477.51x = 32,505,433,342.14
  5. Step 5: Solve for x
    x = 32,505,433,342.14/208,477.51
  6. Step 6: Final answer
    x = 155,918.18

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1.5x scale

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.