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Finding the Fourth Proportional to 136,875.80, 205,313.70 and 37,051.40

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Solution

The fourth proportional to 136,875.80, 205,313.70 and 37,051.40 is: 55,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,875.80 : 205,313.70 = 37,051.40 : x
  2. Step 2: Convert to fraction form
    136,875.80/205,313.70 = 37,051.40/x
  3. Step 3: Cross multiply
    136,875.80x = 205,313.70 × 37,051.40
  4. Step 4: Simplify right side
    136,875.80x = 7,607,160,024.18
  5. Step 5: Solve for x
    x = 7,607,160,024.18/136,875.80
  6. Step 6: Final answer
    x = 55,577.10

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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.