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Finding the Fourth Proportional to 233,931.60, 350,897.40 and 127,643.40

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Solution

The fourth proportional to 233,931.60, 350,897.40 and 127,643.40 is: 191,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,931.60 : 350,897.40 = 127,643.40 : x
  2. Step 2: Convert to fraction form
    233,931.60/350,897.40 = 127,643.40/x
  3. Step 3: Cross multiply
    233,931.60x = 350,897.40 × 127,643.40
  4. Step 4: Simplify right side
    233,931.60x = 44,789,737,187.16
  5. Step 5: Solve for x
    x = 44,789,737,187.16/233,931.60
  6. Step 6: Final answer
    x = 191,465.10

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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.