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Finding the Fourth Proportional to 232,655.94, 348,985.73 and 127,417.50

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Solution

The fourth proportional to 232,655.94, 348,985.73 and 127,417.50 is: 191,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,655.94 : 348,985.73 = 127,417.50 : x
  2. Step 2: Convert to fraction form
    232,655.94/348,985.73 = 127,417.50/x
  3. Step 3: Cross multiply
    232,655.94x = 348,985.73 × 127,417.50
  4. Step 4: Simplify right side
    232,655.94x = 44,466,888,615.19
  5. Step 5: Solve for x
    x = 44,466,888,615.19/232,655.94
  6. Step 6: Final answer
    x = 191,127.24

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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.