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Finding the Fourth Proportional to 92,228.58, 127,278 and 56,417.94

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Solution

The fourth proportional to 92,228.58, 127,278 and 56,417.94 is: 77,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,228.58 : 127,278 = 56,417.94 : x
  2. Step 2: Convert to fraction form
    92,228.58/127,278 = 56,417.94/x
  3. Step 3: Cross multiply
    92,228.58x = 127,278 × 56,417.94
  4. Step 4: Simplify right side
    92,228.58x = 7,180,762,567.32
  5. Step 5: Solve for x
    x = 7,180,762,567.32/92,228.58
  6. Step 6: Final answer
    x = 77,858.32

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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.