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Finding the Fourth Proportional to 249,954.60, 344,578.50 and 178,210.08

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Solution

The fourth proportional to 249,954.60, 344,578.50 and 178,210.08 is: 245,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,954.60 : 344,578.50 = 178,210.08 : x
  2. Step 2: Convert to fraction form
    249,954.60/344,578.50 = 178,210.08/x
  3. Step 3: Cross multiply
    249,954.60x = 344,578.50 × 178,210.08
  4. Step 4: Simplify right side
    249,954.60x = 61,407,362,051.28
  5. Step 5: Solve for x
    x = 61,407,362,051.28/249,954.60
  6. Step 6: Final answer
    x = 245,674.06

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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.