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Finding the Fourth Proportional to 233,038.40, 349,384.80 and 99,809.60

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Solution

The fourth proportional to 233,038.40, 349,384.80 and 99,809.60 is: 149,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,038.40 : 349,384.80 = 99,809.60 : x
  2. Step 2: Convert to fraction form
    233,038.40/349,384.80 = 99,809.60/x
  3. Step 3: Cross multiply
    233,038.40x = 349,384.80 × 99,809.60
  4. Step 4: Simplify right side
    233,038.40x = 34,871,957,134.08
  5. Step 5: Solve for x
    x = 34,871,957,134.08/233,038.40
  6. Step 6: Final answer
    x = 149,640.39

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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.