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Finding the Fourth Proportional to 148,946.40, 208,058.40 and 148,946.40

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Solution

The fourth proportional to 148,946.40, 208,058.40 and 148,946.40 is: 208,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,946.40 : 208,058.40 = 148,946.40 : x
  2. Step 2: Convert to fraction form
    148,946.40/208,058.40 = 148,946.40/x
  3. Step 3: Cross multiply
    148,946.40x = 208,058.40 × 148,946.40
  4. Step 4: Simplify right side
    148,946.40x = 30,989,549,669.76
  5. Step 5: Solve for x
    x = 30,989,549,669.76/148,946.40
  6. Step 6: Final answer
    x = 208,058.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.