Finding the Fourth Proportional to 204,917,160.80, 282,784,835.94 and 110,831,412.08
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Solution
The fourth proportional to 204,917,160.80, 282,784,835.94 and 110,831,412.08 is: 152,946,891.12
Step by Step Solution
- Step 1: Write the proportion equation
204,917,160.80 : 282,784,835.94 = 110,831,412.08 : x - Step 2: Convert to fraction form
204,917,160.80/282,784,835.94 = 110,831,412.08/x - Step 3: Cross multiply
204,917,160.80x = 282,784,835.94 × 110,831,412.08 - Step 4: Simplify right side
204,917,160.80x = 31,341,442,682,041,332 - Step 5: Solve for x
x = 31,341,442,682,041,332/204,917,160.80 - Step 6: Final answer
x = 152,946,891.12
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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.