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Finding the Fourth Proportional to 213,718, 294,927.60 and 152,577.04

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Solution

The fourth proportional to 213,718, 294,927.60 and 152,577.04 is: 210,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,718 : 294,927.60 = 152,577.04 : x
  2. Step 2: Convert to fraction form
    213,718/294,927.60 = 152,577.04/x
  3. Step 3: Cross multiply
    213,718x = 294,927.60 × 152,577.04
  4. Step 4: Simplify right side
    213,718x = 44,999,180,222.30
  5. Step 5: Solve for x
    x = 44,999,180,222.30/213,718
  6. Step 6: Final answer
    x = 210,554.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.