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Finding the Fourth Proportional to 127,809.15, 191,501.82 and 77,737.77

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Solution

The fourth proportional to 127,809.15, 191,501.82 and 77,737.77 is: 116,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,809.15 : 191,501.82 = 77,737.77 : x
  2. Step 2: Convert to fraction form
    127,809.15/191,501.82 = 77,737.77/x
  3. Step 3: Cross multiply
    127,809.15x = 191,501.82 × 77,737.77
  4. Step 4: Simplify right side
    127,809.15x = 14,886,924,437.74
  5. Step 5: Solve for x
    x = 14,886,924,437.74/127,809.15
  6. Step 6: Final answer
    x = 116,477.77

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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.