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Finding the Fourth Proportional to 185,110.34, 277,675.90 and 51,980.22

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Solution

The fourth proportional to 185,110.34, 277,675.90 and 51,980.22 is: 77,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,110.34 : 277,675.90 = 51,980.22 : x
  2. Step 2: Convert to fraction form
    185,110.34/277,675.90 = 51,980.22/x
  3. Step 3: Cross multiply
    185,110.34x = 277,675.90 × 51,980.22
  4. Step 4: Simplify right side
    185,110.34x = 14,433,655,102.51
  5. Step 5: Solve for x
    x = 14,433,655,102.51/185,110.34
  6. Step 6: Final answer
    x = 77,973.25

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1.5x scale

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.